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Finding the Fourth Proportional to 1,088.40, 1,630.72 and 916.20

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Solution

The fourth proportional to 1,088.40, 1,630.72 and 916.20 is: 1,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.40 : 1,630.72 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,088.40/1,630.72 = 916.20/x
  3. Step 3: Cross multiply
    1,088.40x = 1,630.72 × 916.20
  4. Step 4: Simplify right side
    1,088.40x = 1,494,065.66
  5. Step 5: Solve for x
    x = 1,494,065.66/1,088.40
  6. Step 6: Final answer
    x = 1,372.72

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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.