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Finding the Fourth Proportional to 1,098.35, 1,647.91 and 687

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Solution

The fourth proportional to 1,098.35, 1,647.91 and 687 is: 1,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.35 : 1,647.91 = 687 : x
  2. Step 2: Convert to fraction form
    1,098.35/1,647.91 = 687/x
  3. Step 3: Cross multiply
    1,098.35x = 1,647.91 × 687
  4. Step 4: Simplify right side
    1,098.35x = 1,132,114.17
  5. Step 5: Solve for x
    x = 1,132,114.17/1,098.35
  6. Step 6: Final answer
    x = 1,030.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.