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Finding the Fourth Proportional to 1,134.47, 1,701.68 and 312.74

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Solution

The fourth proportional to 1,134.47, 1,701.68 and 312.74 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.47 : 1,701.68 = 312.74 : x
  2. Step 2: Convert to fraction form
    1,134.47/1,701.68 = 312.74/x
  3. Step 3: Cross multiply
    1,134.47x = 1,701.68 × 312.74
  4. Step 4: Simplify right side
    1,134.47x = 532,173.33
  5. Step 5: Solve for x
    x = 532,173.33/1,134.47
  6. Step 6: Final answer
    x = 469.10

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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.