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Finding the Fourth Proportional to 750.90, 1,035.66 and 502.14

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Solution

The fourth proportional to 750.90, 1,035.66 and 502.14 is: 692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.90 : 1,035.66 = 502.14 : x
  2. Step 2: Convert to fraction form
    750.90/1,035.66 = 502.14/x
  3. Step 3: Cross multiply
    750.90x = 1,035.66 × 502.14
  4. Step 4: Simplify right side
    750.90x = 520,046.31
  5. Step 5: Solve for x
    x = 520,046.31/750.90
  6. Step 6: Final answer
    x = 692.56

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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.