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Finding the Fourth Proportional to 1,010.34, 1,515.68 and 316.88

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Solution

The fourth proportional to 1,010.34, 1,515.68 and 316.88 is: 475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.34 : 1,515.68 = 316.88 : x
  2. Step 2: Convert to fraction form
    1,010.34/1,515.68 = 316.88/x
  3. Step 3: Cross multiply
    1,010.34x = 1,515.68 × 316.88
  4. Step 4: Simplify right side
    1,010.34x = 480,279.52
  5. Step 5: Solve for x
    x = 480,279.52/1,010.34
  6. Step 6: Final answer
    x = 475.36

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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.