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Finding the Fourth Proportional to 473.60, 711.36 and 387.08

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Solution

The fourth proportional to 473.60, 711.36 and 387.08 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 711.36 = 387.08 : x
  2. Step 2: Convert to fraction form
    473.60/711.36 = 387.08/x
  3. Step 3: Cross multiply
    473.60x = 711.36 × 387.08
  4. Step 4: Simplify right side
    473.60x = 275,353.23
  5. Step 5: Solve for x
    x = 275,353.23/473.60
  6. Step 6: Final answer
    x = 581.40

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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.