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Finding the Fourth Proportional to 784.21, 1,176.51 and 394.19

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Solution

The fourth proportional to 784.21, 1,176.51 and 394.19 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.21 : 1,176.51 = 394.19 : x
  2. Step 2: Convert to fraction form
    784.21/1,176.51 = 394.19/x
  3. Step 3: Cross multiply
    784.21x = 1,176.51 × 394.19
  4. Step 4: Simplify right side
    784.21x = 463,771.42
  5. Step 5: Solve for x
    x = 463,771.42/784.21
  6. Step 6: Final answer
    x = 591.39

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.