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Finding the Fourth Proportional to 1,007.84, 1,390.69 and 588.28

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Solution

The fourth proportional to 1,007.84, 1,390.69 and 588.28 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.84 : 1,390.69 = 588.28 : x
  2. Step 2: Convert to fraction form
    1,007.84/1,390.69 = 588.28/x
  3. Step 3: Cross multiply
    1,007.84x = 1,390.69 × 588.28
  4. Step 4: Simplify right side
    1,007.84x = 818,115.11
  5. Step 5: Solve for x
    x = 818,115.11/1,007.84
  6. Step 6: Final answer
    x = 811.75

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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.