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Finding the Fourth Proportional to 642.26, 887.46 and 502.76

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Solution

The fourth proportional to 642.26, 887.46 and 502.76 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.26 : 887.46 = 502.76 : x
  2. Step 2: Convert to fraction form
    642.26/887.46 = 502.76/x
  3. Step 3: Cross multiply
    642.26x = 887.46 × 502.76
  4. Step 4: Simplify right side
    642.26x = 446,179.39
  5. Step 5: Solve for x
    x = 446,179.39/642.26
  6. Step 6: Final answer
    x = 694.70

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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.