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Finding the Fourth Proportional to 784.10, 1,176.17 and 373.01

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Solution

The fourth proportional to 784.10, 1,176.17 and 373.01 is: 559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,176.17 = 373.01 : x
  2. Step 2: Convert to fraction form
    784.10/1,176.17 = 373.01/x
  3. Step 3: Cross multiply
    784.10x = 1,176.17 × 373.01
  4. Step 4: Simplify right side
    784.10x = 438,715.43
  5. Step 5: Solve for x
    x = 438,715.43/784.10
  6. Step 6: Final answer
    x = 559.51

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Double scale
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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.