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Finding the Fourth Proportional to 1,007.67, 1,390.67 and 614.78

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Solution

The fourth proportional to 1,007.67, 1,390.67 and 614.78 is: 848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.67 : 1,390.67 = 614.78 : x
  2. Step 2: Convert to fraction form
    1,007.67/1,390.67 = 614.78/x
  3. Step 3: Cross multiply
    1,007.67x = 1,390.67 × 614.78
  4. Step 4: Simplify right side
    1,007.67x = 854,946.08
  5. Step 5: Solve for x
    x = 854,946.08/1,007.67
  6. Step 6: Final answer
    x = 848.44

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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.