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Finding the Fourth Proportional to 1,127.45, 1,691.10 and 469.16

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Solution

The fourth proportional to 1,127.45, 1,691.10 and 469.16 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.45 : 1,691.10 = 469.16 : x
  2. Step 2: Convert to fraction form
    1,127.45/1,691.10 = 469.16/x
  3. Step 3: Cross multiply
    1,127.45x = 1,691.10 × 469.16
  4. Step 4: Simplify right side
    1,127.45x = 793,388.02
  5. Step 5: Solve for x
    x = 793,388.02/1,127.45
  6. Step 6: Final answer
    x = 703.70

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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.