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Finding the Fourth Proportional to 561.29, 773.47 and 472.78

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Solution

The fourth proportional to 561.29, 773.47 and 472.78 is: 651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.29 : 773.47 = 472.78 : x
  2. Step 2: Convert to fraction form
    561.29/773.47 = 472.78/x
  3. Step 3: Cross multiply
    561.29x = 773.47 × 472.78
  4. Step 4: Simplify right side
    561.29x = 365,681.15
  5. Step 5: Solve for x
    x = 365,681.15/561.29
  6. Step 6: Final answer
    x = 651.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.