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Finding the Fourth Proportional to 1,047.13, 1,569.78 and 397.41

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Solution

The fourth proportional to 1,047.13, 1,569.78 and 397.41 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.13 : 1,569.78 = 397.41 : x
  2. Step 2: Convert to fraction form
    1,047.13/1,569.78 = 397.41/x
  3. Step 3: Cross multiply
    1,047.13x = 1,569.78 × 397.41
  4. Step 4: Simplify right side
    1,047.13x = 623,840.38
  5. Step 5: Solve for x
    x = 623,840.38/1,047.13
  6. Step 6: Final answer
    x = 595.76

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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.