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Finding the Fourth Proportional to 523.49, 784.83 and 451.22

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Solution

The fourth proportional to 523.49, 784.83 and 451.22 is: 676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 784.83 = 451.22 : x
  2. Step 2: Convert to fraction form
    523.49/784.83 = 451.22/x
  3. Step 3: Cross multiply
    523.49x = 784.83 × 451.22
  4. Step 4: Simplify right side
    523.49x = 354,132.95
  5. Step 5: Solve for x
    x = 354,132.95/523.49
  6. Step 6: Final answer
    x = 676.48

Related Problems

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Half scale
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Double scale
Find fourth proportional to 524.49, 786.33 and 452.22
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.