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Finding the Fourth Proportional to 987.93, 1,364 and 689.10

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Solution

The fourth proportional to 987.93, 1,364 and 689.10 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.93 : 1,364 = 689.10 : x
  2. Step 2: Convert to fraction form
    987.93/1,364 = 689.10/x
  3. Step 3: Cross multiply
    987.93x = 1,364 × 689.10
  4. Step 4: Simplify right side
    987.93x = 939,932.40
  5. Step 5: Solve for x
    x = 939,932.40/987.93
  6. Step 6: Final answer
    x = 951.42

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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.