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Finding the Fourth Proportional to 1,007.20, 1,390.38 and 675.74

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Solution

The fourth proportional to 1,007.20, 1,390.38 and 675.74 is: 932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.20 : 1,390.38 = 675.74 : x
  2. Step 2: Convert to fraction form
    1,007.20/1,390.38 = 675.74/x
  3. Step 3: Cross multiply
    1,007.20x = 1,390.38 × 675.74
  4. Step 4: Simplify right side
    1,007.20x = 939,535.38
  5. Step 5: Solve for x
    x = 939,535.38/1,007.20
  6. Step 6: Final answer
    x = 932.82

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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.