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Finding the Fourth Proportional to 1,084.59, 1,495.53 and 691.47

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Solution

The fourth proportional to 1,084.59, 1,495.53 and 691.47 is: 953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.59 : 1,495.53 = 691.47 : x
  2. Step 2: Convert to fraction form
    1,084.59/1,495.53 = 691.47/x
  3. Step 3: Cross multiply
    1,084.59x = 1,495.53 × 691.47
  4. Step 4: Simplify right side
    1,084.59x = 1,034,114.13
  5. Step 5: Solve for x
    x = 1,034,114.13/1,084.59
  6. Step 6: Final answer
    x = 953.46

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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.