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Finding the Fourth Proportional to 913.65, 1,370.45 and 731.40

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Solution

The fourth proportional to 913.65, 1,370.45 and 731.40 is: 1,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.65 : 1,370.45 = 731.40 : x
  2. Step 2: Convert to fraction form
    913.65/1,370.45 = 731.40/x
  3. Step 3: Cross multiply
    913.65x = 1,370.45 × 731.40
  4. Step 4: Simplify right side
    913.65x = 1,002,343.47
  5. Step 5: Solve for x
    x = 1,002,343.47/913.65
  6. Step 6: Final answer
    x = 1,097.08

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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.