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Finding the Fourth Proportional to 1,007.64, 1,390.50 and 587.97

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Solution

The fourth proportional to 1,007.64, 1,390.50 and 587.97 is: 811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,390.50 = 587.97 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,390.50 = 587.97/x
  3. Step 3: Cross multiply
    1,007.64x = 1,390.50 × 587.97
  4. Step 4: Simplify right side
    1,007.64x = 817,572.29
  5. Step 5: Solve for x
    x = 817,572.29/1,007.64
  6. Step 6: Final answer
    x = 811.37

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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.