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Finding the Fourth Proportional to 711.96, 983.20 and 565.32

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Solution

The fourth proportional to 711.96, 983.20 and 565.32 is: 780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.96 : 983.20 = 565.32 : x
  2. Step 2: Convert to fraction form
    711.96/983.20 = 565.32/x
  3. Step 3: Cross multiply
    711.96x = 983.20 × 565.32
  4. Step 4: Simplify right side
    711.96x = 555,822.62
  5. Step 5: Solve for x
    x = 555,822.62/711.96
  6. Step 6: Final answer
    x = 780.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.