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Finding the Fourth Proportional to 1,098.18, 1,526.13 and 1,084.41

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Solution

The fourth proportional to 1,098.18, 1,526.13 and 1,084.41 is: 1,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.18 : 1,526.13 = 1,084.41 : x
  2. Step 2: Convert to fraction form
    1,098.18/1,526.13 = 1,084.41/x
  3. Step 3: Cross multiply
    1,098.18x = 1,526.13 × 1,084.41
  4. Step 4: Simplify right side
    1,098.18x = 1,654,950.63
  5. Step 5: Solve for x
    x = 1,654,950.63/1,098.18
  6. Step 6: Final answer
    x = 1,506.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.