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Finding the Fourth Proportional to 711.48, 1,066.05 and 385.86

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Solution

The fourth proportional to 711.48, 1,066.05 and 385.86 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.48 : 1,066.05 = 385.86 : x
  2. Step 2: Convert to fraction form
    711.48/1,066.05 = 385.86/x
  3. Step 3: Cross multiply
    711.48x = 1,066.05 × 385.86
  4. Step 4: Simplify right side
    711.48x = 411,346.05
  5. Step 5: Solve for x
    x = 411,346.05/711.48
  6. Step 6: Final answer
    x = 578.16

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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.