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Finding the Fourth Proportional to 731.69, 1,095.69 and 500.67

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Solution

The fourth proportional to 731.69, 1,095.69 and 500.67 is: 749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.69 : 1,095.69 = 500.67 : x
  2. Step 2: Convert to fraction form
    731.69/1,095.69 = 500.67/x
  3. Step 3: Cross multiply
    731.69x = 1,095.69 × 500.67
  4. Step 4: Simplify right side
    731.69x = 548,579.11
  5. Step 5: Solve for x
    x = 548,579.11/731.69
  6. Step 6: Final answer
    x = 749.75

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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.