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Finding the Fourth Proportional to 913.50, 1,370.72 and 502.96

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Solution

The fourth proportional to 913.50, 1,370.72 and 502.96 is: 754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,370.72 = 502.96 : x
  2. Step 2: Convert to fraction form
    913.50/1,370.72 = 502.96/x
  3. Step 3: Cross multiply
    913.50x = 1,370.72 × 502.96
  4. Step 4: Simplify right side
    913.50x = 689,417.33
  5. Step 5: Solve for x
    x = 689,417.33/913.50
  6. Step 6: Final answer
    x = 754.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.