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Finding the Fourth Proportional to 1,007.45, 1,390.19 and 614.40

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Solution

The fourth proportional to 1,007.45, 1,390.19 and 614.40 is: 847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.45 : 1,390.19 = 614.40 : x
  2. Step 2: Convert to fraction form
    1,007.45/1,390.19 = 614.40/x
  3. Step 3: Cross multiply
    1,007.45x = 1,390.19 × 614.40
  4. Step 4: Simplify right side
    1,007.45x = 854,125.79
  5. Step 5: Solve for x
    x = 854,125.79/1,007.45
  6. Step 6: Final answer
    x = 847.81

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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.