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Finding the Fourth Proportional to 1,010.29, 1,515.04 and 393.91

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Solution

The fourth proportional to 1,010.29, 1,515.04 and 393.91 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.29 : 1,515.04 = 393.91 : x
  2. Step 2: Convert to fraction form
    1,010.29/1,515.04 = 393.91/x
  3. Step 3: Cross multiply
    1,010.29x = 1,515.04 × 393.91
  4. Step 4: Simplify right side
    1,010.29x = 596,789.41
  5. Step 5: Solve for x
    x = 596,789.41/1,010.29
  6. Step 6: Final answer
    x = 590.71

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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.