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Finding the Fourth Proportional to 1,298.72, 1,948.23 and 477.38

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Solution

The fourth proportional to 1,298.72, 1,948.23 and 477.38 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.72 : 1,948.23 = 477.38 : x
  2. Step 2: Convert to fraction form
    1,298.72/1,948.23 = 477.38/x
  3. Step 3: Cross multiply
    1,298.72x = 1,948.23 × 477.38
  4. Step 4: Simplify right side
    1,298.72x = 930,046.04
  5. Step 5: Solve for x
    x = 930,046.04/1,298.72
  6. Step 6: Final answer
    x = 716.13

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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.