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Finding the Fourth Proportional to 1,116.32, 1,677.09 and 654.42

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Solution

The fourth proportional to 1,116.32, 1,677.09 and 654.42 is: 983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.32 : 1,677.09 = 654.42 : x
  2. Step 2: Convert to fraction form
    1,116.32/1,677.09 = 654.42/x
  3. Step 3: Cross multiply
    1,116.32x = 1,677.09 × 654.42
  4. Step 4: Simplify right side
    1,116.32x = 1,097,521.24
  5. Step 5: Solve for x
    x = 1,097,521.24/1,116.32
  6. Step 6: Final answer
    x = 983.16

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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.