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Finding the Fourth Proportional to 1,010.57, 1,515.88 and 317.23

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Solution

The fourth proportional to 1,010.57, 1,515.88 and 317.23 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.57 : 1,515.88 = 317.23 : x
  2. Step 2: Convert to fraction form
    1,010.57/1,515.88 = 317.23/x
  3. Step 3: Cross multiply
    1,010.57x = 1,515.88 × 317.23
  4. Step 4: Simplify right side
    1,010.57x = 480,875.03
  5. Step 5: Solve for x
    x = 480,875.03/1,010.57
  6. Step 6: Final answer
    x = 475.85

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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.