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Finding the Fourth Proportional to 1,010.12, 1,515.06 and 394.31

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Solution

The fourth proportional to 1,010.12, 1,515.06 and 394.31 is: 591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.12 : 1,515.06 = 394.31 : x
  2. Step 2: Convert to fraction form
    1,010.12/1,515.06 = 394.31/x
  3. Step 3: Cross multiply
    1,010.12x = 1,515.06 × 394.31
  4. Step 4: Simplify right side
    1,010.12x = 597,407.10
  5. Step 5: Solve for x
    x = 597,407.10/1,010.12
  6. Step 6: Final answer
    x = 591.42

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Double scale
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1.5x scale

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.