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Finding the Fourth Proportional to 1,098.03, 1,506.63 and 1,087.71

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Solution

The fourth proportional to 1,098.03, 1,506.63 and 1,087.71 is: 1,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.03 : 1,506.63 = 1,087.71 : x
  2. Step 2: Convert to fraction form
    1,098.03/1,506.63 = 1,087.71/x
  3. Step 3: Cross multiply
    1,098.03x = 1,506.63 × 1,087.71
  4. Step 4: Simplify right side
    1,098.03x = 1,638,776.52
  5. Step 5: Solve for x
    x = 1,638,776.52/1,098.03
  6. Step 6: Final answer
    x = 1,492.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.