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Finding the Fourth Proportional to 487.59, 732.78 and 469.41

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Solution

The fourth proportional to 487.59, 732.78 and 469.41 is: 705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.59 : 732.78 = 469.41 : x
  2. Step 2: Convert to fraction form
    487.59/732.78 = 469.41/x
  3. Step 3: Cross multiply
    487.59x = 732.78 × 469.41
  4. Step 4: Simplify right side
    487.59x = 343,974.26
  5. Step 5: Solve for x
    x = 343,974.26/487.59
  6. Step 6: Final answer
    x = 705.46

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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.