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Finding the Fourth Proportional to 750.53, 1,036.10 and 515.72

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Solution

The fourth proportional to 750.53, 1,036.10 and 515.72 is: 711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.53 : 1,036.10 = 515.72 : x
  2. Step 2: Convert to fraction form
    750.53/1,036.10 = 515.72/x
  3. Step 3: Cross multiply
    750.53x = 1,036.10 × 515.72
  4. Step 4: Simplify right side
    750.53x = 534,337.49
  5. Step 5: Solve for x
    x = 534,337.49/750.53
  6. Step 6: Final answer
    x = 711.95

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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.