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Finding the Fourth Proportional to 1,129.12, 1,558.26 and 687.04

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Solution

The fourth proportional to 1,129.12, 1,558.26 and 687.04 is: 948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.12 : 1,558.26 = 687.04 : x
  2. Step 2: Convert to fraction form
    1,129.12/1,558.26 = 687.04/x
  3. Step 3: Cross multiply
    1,129.12x = 1,558.26 × 687.04
  4. Step 4: Simplify right side
    1,129.12x = 1,070,586.95
  5. Step 5: Solve for x
    x = 1,070,586.95/1,129.12
  6. Step 6: Final answer
    x = 948.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.