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Finding the Fourth Proportional to 561.72, 773.64 and 463.44

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Solution

The fourth proportional to 561.72, 773.64 and 463.44 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 773.64 = 463.44 : x
  2. Step 2: Convert to fraction form
    561.72/773.64 = 463.44/x
  3. Step 3: Cross multiply
    561.72x = 773.64 × 463.44
  4. Step 4: Simplify right side
    561.72x = 358,535.72
  5. Step 5: Solve for x
    x = 358,535.72/561.72
  6. Step 6: Final answer
    x = 638.28

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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.