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Finding the Fourth Proportional to 1,098.38, 1,515.77 and 632.90

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Solution

The fourth proportional to 1,098.38, 1,515.77 and 632.90 is: 873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.38 : 1,515.77 = 632.90 : x
  2. Step 2: Convert to fraction form
    1,098.38/1,515.77 = 632.90/x
  3. Step 3: Cross multiply
    1,098.38x = 1,515.77 × 632.90
  4. Step 4: Simplify right side
    1,098.38x = 959,320.09
  5. Step 5: Solve for x
    x = 959,320.09/1,098.38
  6. Step 6: Final answer
    x = 873.40

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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.