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Finding the Fourth Proportional to 739.20, 1,020.45 and 503.28

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Solution

The fourth proportional to 739.20, 1,020.45 and 503.28 is: 694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.20 : 1,020.45 = 503.28 : x
  2. Step 2: Convert to fraction form
    739.20/1,020.45 = 503.28/x
  3. Step 3: Cross multiply
    739.20x = 1,020.45 × 503.28
  4. Step 4: Simplify right side
    739.20x = 513,572.08
  5. Step 5: Solve for x
    x = 513,572.08/739.20
  6. Step 6: Final answer
    x = 694.77

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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.