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Finding the Fourth Proportional to 1,127.51, 1,691.50 and 478.23

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Solution

The fourth proportional to 1,127.51, 1,691.50 and 478.23 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.51 : 1,691.50 = 478.23 : x
  2. Step 2: Convert to fraction form
    1,127.51/1,691.50 = 478.23/x
  3. Step 3: Cross multiply
    1,127.51x = 1,691.50 × 478.23
  4. Step 4: Simplify right side
    1,127.51x = 808,917.59
  5. Step 5: Solve for x
    x = 808,917.59/1,127.51
  6. Step 6: Final answer
    x = 717.44

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Double scale
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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.