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Finding the Fourth Proportional to 1,227.71, 1,842.51 and 497.81

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Solution

The fourth proportional to 1,227.71, 1,842.51 and 497.81 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.71 : 1,842.51 = 497.81 : x
  2. Step 2: Convert to fraction form
    1,227.71/1,842.51 = 497.81/x
  3. Step 3: Cross multiply
    1,227.71x = 1,842.51 × 497.81
  4. Step 4: Simplify right side
    1,227.71x = 917,219.90
  5. Step 5: Solve for x
    x = 917,219.90/1,227.71
  6. Step 6: Final answer
    x = 747.10

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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.