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Finding the Fourth Proportional to 985.93, 1,476.37 and 956.73

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Solution

The fourth proportional to 985.93, 1,476.37 and 956.73 is: 1,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.93 : 1,476.37 = 956.73 : x
  2. Step 2: Convert to fraction form
    985.93/1,476.37 = 956.73/x
  3. Step 3: Cross multiply
    985.93x = 1,476.37 × 956.73
  4. Step 4: Simplify right side
    985.93x = 1,412,490.61
  5. Step 5: Solve for x
    x = 1,412,490.61/985.93
  6. Step 6: Final answer
    x = 1,432.65

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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.