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Finding the Fourth Proportional to 753.50, 1,039.14 and 473.37

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Solution

The fourth proportional to 753.50, 1,039.14 and 473.37 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.50 : 1,039.14 = 473.37 : x
  2. Step 2: Convert to fraction form
    753.50/1,039.14 = 473.37/x
  3. Step 3: Cross multiply
    753.50x = 1,039.14 × 473.37
  4. Step 4: Simplify right side
    753.50x = 491,897.70
  5. Step 5: Solve for x
    x = 491,897.70/753.50
  6. Step 6: Final answer
    x = 652.82

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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.