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Finding the Fourth Proportional to 487.66, 732.06 and 385.01

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Solution

The fourth proportional to 487.66, 732.06 and 385.01 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.66 : 732.06 = 385.01 : x
  2. Step 2: Convert to fraction form
    487.66/732.06 = 385.01/x
  3. Step 3: Cross multiply
    487.66x = 732.06 × 385.01
  4. Step 4: Simplify right side
    487.66x = 281,848.50
  5. Step 5: Solve for x
    x = 281,848.50/487.66
  6. Step 6: Final answer
    x = 577.97

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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.