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Finding the Fourth Proportional to 711.32, 1,065.77 and 386.11

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Solution

The fourth proportional to 711.32, 1,065.77 and 386.11 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.32 : 1,065.77 = 386.11 : x
  2. Step 2: Convert to fraction form
    711.32/1,065.77 = 386.11/x
  3. Step 3: Cross multiply
    711.32x = 1,065.77 × 386.11
  4. Step 4: Simplify right side
    711.32x = 411,497.20
  5. Step 5: Solve for x
    x = 411,497.20/711.32
  6. Step 6: Final answer
    x = 578.50

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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.