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Finding the Fourth Proportional to 1,306.78, 1,803.35 and 717.31

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Solution

The fourth proportional to 1,306.78, 1,803.35 and 717.31 is: 989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.78 : 1,803.35 = 717.31 : x
  2. Step 2: Convert to fraction form
    1,306.78/1,803.35 = 717.31/x
  3. Step 3: Cross multiply
    1,306.78x = 1,803.35 × 717.31
  4. Step 4: Simplify right side
    1,306.78x = 1,293,565.04
  5. Step 5: Solve for x
    x = 1,293,565.04/1,306.78
  6. Step 6: Final answer
    x = 989.89

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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.