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Finding the Fourth Proportional to 1,444.93, 1,992.67 and 947.38

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Solution

The fourth proportional to 1,444.93, 1,992.67 and 947.38 is: 1,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.93 : 1,992.67 = 947.38 : x
  2. Step 2: Convert to fraction form
    1,444.93/1,992.67 = 947.38/x
  3. Step 3: Cross multiply
    1,444.93x = 1,992.67 × 947.38
  4. Step 4: Simplify right side
    1,444.93x = 1,887,815.70
  5. Step 5: Solve for x
    x = 1,887,815.70/1,444.93
  6. Step 6: Final answer
    x = 1,306.51

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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.