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Finding the Fourth Proportional to 1,012.46, 1,399.10 and 763.35

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Solution

The fourth proportional to 1,012.46, 1,399.10 and 763.35 is: 1,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.46 : 1,399.10 = 763.35 : x
  2. Step 2: Convert to fraction form
    1,012.46/1,399.10 = 763.35/x
  3. Step 3: Cross multiply
    1,012.46x = 1,399.10 × 763.35
  4. Step 4: Simplify right side
    1,012.46x = 1,068,000.00
  5. Step 5: Solve for x
    x = 1,068,000.00/1,012.46
  6. Step 6: Final answer
    x = 1,054.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.