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Finding the Fourth Proportional to 1,098.25, 1,515.57 and 626.17

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Solution

The fourth proportional to 1,098.25, 1,515.57 and 626.17 is: 864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.25 : 1,515.57 = 626.17 : x
  2. Step 2: Convert to fraction form
    1,098.25/1,515.57 = 626.17/x
  3. Step 3: Cross multiply
    1,098.25x = 1,515.57 × 626.17
  4. Step 4: Simplify right side
    1,098.25x = 949,001.34
  5. Step 5: Solve for x
    x = 949,001.34/1,098.25
  6. Step 6: Final answer
    x = 864.11

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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.