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Finding the Fourth Proportional to 487.85, 732.14 and 358.19

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Solution

The fourth proportional to 487.85, 732.14 and 358.19 is: 537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.85 : 732.14 = 358.19 : x
  2. Step 2: Convert to fraction form
    487.85/732.14 = 358.19/x
  3. Step 3: Cross multiply
    487.85x = 732.14 × 358.19
  4. Step 4: Simplify right side
    487.85x = 262,239.77
  5. Step 5: Solve for x
    x = 262,239.77/487.85
  6. Step 6: Final answer
    x = 537.55

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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.