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Finding the Fourth Proportional to 642.24, 958.75 and 560.25

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Solution

The fourth proportional to 642.24, 958.75 and 560.25 is: 836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 958.75 = 560.25 : x
  2. Step 2: Convert to fraction form
    642.24/958.75 = 560.25/x
  3. Step 3: Cross multiply
    642.24x = 958.75 × 560.25
  4. Step 4: Simplify right side
    642.24x = 537,138.29
  5. Step 5: Solve for x
    x = 537,138.29/642.24
  6. Step 6: Final answer
    x = 836.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.