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Finding the Fourth Proportional to 653.49, 901.11 and 560.55

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Solution

The fourth proportional to 653.49, 901.11 and 560.55 is: 772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 901.11 = 560.55 : x
  2. Step 2: Convert to fraction form
    653.49/901.11 = 560.55/x
  3. Step 3: Cross multiply
    653.49x = 901.11 × 560.55
  4. Step 4: Simplify right side
    653.49x = 505,117.21
  5. Step 5: Solve for x
    x = 505,117.21/653.49
  6. Step 6: Final answer
    x = 772.95

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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.