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Finding the Fourth Proportional to 731.55, 1,009.35 and 465.87

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Solution

The fourth proportional to 731.55, 1,009.35 and 465.87 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.55 : 1,009.35 = 465.87 : x
  2. Step 2: Convert to fraction form
    731.55/1,009.35 = 465.87/x
  3. Step 3: Cross multiply
    731.55x = 1,009.35 × 465.87
  4. Step 4: Simplify right side
    731.55x = 470,225.88
  5. Step 5: Solve for x
    x = 470,225.88/731.55
  6. Step 6: Final answer
    x = 642.78

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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.