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Finding the Fourth Proportional to 1,046.87, 1,444.48 and 673.76

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Solution

The fourth proportional to 1,046.87, 1,444.48 and 673.76 is: 929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.87 : 1,444.48 = 673.76 : x
  2. Step 2: Convert to fraction form
    1,046.87/1,444.48 = 673.76/x
  3. Step 3: Cross multiply
    1,046.87x = 1,444.48 × 673.76
  4. Step 4: Simplify right side
    1,046.87x = 973,231.16
  5. Step 5: Solve for x
    x = 973,231.16/1,046.87
  6. Step 6: Final answer
    x = 929.66

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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.