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Finding the Fourth Proportional to 1,012.32, 1,517.08 and 463.16

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Solution

The fourth proportional to 1,012.32, 1,517.08 and 463.16 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.32 : 1,517.08 = 463.16 : x
  2. Step 2: Convert to fraction form
    1,012.32/1,517.08 = 463.16/x
  3. Step 3: Cross multiply
    1,012.32x = 1,517.08 × 463.16
  4. Step 4: Simplify right side
    1,012.32x = 702,650.77
  5. Step 5: Solve for x
    x = 702,650.77/1,012.32
  6. Step 6: Final answer
    x = 694.10

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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.