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Finding the Fourth Proportional to 1,531.86, 2,296.94 and 709.68

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Solution

The fourth proportional to 1,531.86, 2,296.94 and 709.68 is: 1,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.86 : 2,296.94 = 709.68 : x
  2. Step 2: Convert to fraction form
    1,531.86/2,296.94 = 709.68/x
  3. Step 3: Cross multiply
    1,531.86x = 2,296.94 × 709.68
  4. Step 4: Simplify right side
    1,531.86x = 1,630,092.38
  5. Step 5: Solve for x
    x = 1,630,092.38/1,531.86
  6. Step 6: Final answer
    x = 1,064.13

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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.