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Finding the Fourth Proportional to 560.72, 772.44 and 457.04

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Solution

The fourth proportional to 560.72, 772.44 and 457.04 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 772.44 = 457.04 : x
  2. Step 2: Convert to fraction form
    560.72/772.44 = 457.04/x
  3. Step 3: Cross multiply
    560.72x = 772.44 × 457.04
  4. Step 4: Simplify right side
    560.72x = 353,035.98
  5. Step 5: Solve for x
    x = 353,035.98/560.72
  6. Step 6: Final answer
    x = 629.61

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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.