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Finding the Fourth Proportional to 1,326.46, 1,990.23 and 710.86

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Solution

The fourth proportional to 1,326.46, 1,990.23 and 710.86 is: 1,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.46 : 1,990.23 = 710.86 : x
  2. Step 2: Convert to fraction form
    1,326.46/1,990.23 = 710.86/x
  3. Step 3: Cross multiply
    1,326.46x = 1,990.23 × 710.86
  4. Step 4: Simplify right side
    1,326.46x = 1,414,774.90
  5. Step 5: Solve for x
    x = 1,414,774.90/1,326.46
  6. Step 6: Final answer
    x = 1,066.58

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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.