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Finding the Fourth Proportional to 693.27, 1,038.74 and 487.47

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Solution

The fourth proportional to 693.27, 1,038.74 and 487.47 is: 730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.27 : 1,038.74 = 487.47 : x
  2. Step 2: Convert to fraction form
    693.27/1,038.74 = 487.47/x
  3. Step 3: Cross multiply
    693.27x = 1,038.74 × 487.47
  4. Step 4: Simplify right side
    693.27x = 506,352.94
  5. Step 5: Solve for x
    x = 506,352.94/693.27
  6. Step 6: Final answer
    x = 730.39

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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.