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Finding the Fourth Proportional to 1,118.29, 1,543.52 and 646.46

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Solution

The fourth proportional to 1,118.29, 1,543.52 and 646.46 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.29 : 1,543.52 = 646.46 : x
  2. Step 2: Convert to fraction form
    1,118.29/1,543.52 = 646.46/x
  3. Step 3: Cross multiply
    1,118.29x = 1,543.52 × 646.46
  4. Step 4: Simplify right side
    1,118.29x = 997,823.94
  5. Step 5: Solve for x
    x = 997,823.94/1,118.29
  6. Step 6: Final answer
    x = 892.28

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Why These Related Problems?

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