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Finding the Fourth Proportional to 731.45, 1,009.85 and 565.34

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Solution

The fourth proportional to 731.45, 1,009.85 and 565.34 is: 780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.45 : 1,009.85 = 565.34 : x
  2. Step 2: Convert to fraction form
    731.45/1,009.85 = 565.34/x
  3. Step 3: Cross multiply
    731.45x = 1,009.85 × 565.34
  4. Step 4: Simplify right side
    731.45x = 570,900.72
  5. Step 5: Solve for x
    x = 570,900.72/731.45
  6. Step 6: Final answer
    x = 780.50

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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.