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Finding the Fourth Proportional to 1,065.31, 1,598.04 and 371.89

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Solution

The fourth proportional to 1,065.31, 1,598.04 and 371.89 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.31 : 1,598.04 = 371.89 : x
  2. Step 2: Convert to fraction form
    1,065.31/1,598.04 = 371.89/x
  3. Step 3: Cross multiply
    1,065.31x = 1,598.04 × 371.89
  4. Step 4: Simplify right side
    1,065.31x = 594,295.10
  5. Step 5: Solve for x
    x = 594,295.10/1,065.31
  6. Step 6: Final answer
    x = 557.86

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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.