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Finding the Fourth Proportional to 1,046.76, 1,444.89 and 687.88

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Solution

The fourth proportional to 1,046.76, 1,444.89 and 687.88 is: 949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.76 : 1,444.89 = 687.88 : x
  2. Step 2: Convert to fraction form
    1,046.76/1,444.89 = 687.88/x
  3. Step 3: Cross multiply
    1,046.76x = 1,444.89 × 687.88
  4. Step 4: Simplify right side
    1,046.76x = 993,910.93
  5. Step 5: Solve for x
    x = 993,910.93/1,046.76
  6. Step 6: Final answer
    x = 949.51

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1.5x scale

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.