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Finding the Fourth Proportional to 711.57, 1,068.36 and 365.16

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Solution

The fourth proportional to 711.57, 1,068.36 and 365.16 is: 548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.57 : 1,068.36 = 365.16 : x
  2. Step 2: Convert to fraction form
    711.57/1,068.36 = 365.16/x
  3. Step 3: Cross multiply
    711.57x = 1,068.36 × 365.16
  4. Step 4: Simplify right side
    711.57x = 390,115.17
  5. Step 5: Solve for x
    x = 390,115.17/711.57
  6. Step 6: Final answer
    x = 548.25

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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.