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Finding the Fourth Proportional to 560.38, 772.63 and 455.08

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Solution

The fourth proportional to 560.38, 772.63 and 455.08 is: 627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 772.63 = 455.08 : x
  2. Step 2: Convert to fraction form
    560.38/772.63 = 455.08/x
  3. Step 3: Cross multiply
    560.38x = 772.63 × 455.08
  4. Step 4: Simplify right side
    560.38x = 351,608.46
  5. Step 5: Solve for x
    x = 351,608.46/560.38
  6. Step 6: Final answer
    x = 627.45

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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.