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Finding the Fourth Proportional to 727.32, 1,000.86 and 705.96

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Solution

The fourth proportional to 727.32, 1,000.86 and 705.96 is: 971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.32 : 1,000.86 = 705.96 : x
  2. Step 2: Convert to fraction form
    727.32/1,000.86 = 705.96/x
  3. Step 3: Cross multiply
    727.32x = 1,000.86 × 705.96
  4. Step 4: Simplify right side
    727.32x = 706,567.13
  5. Step 5: Solve for x
    x = 706,567.13/727.32
  6. Step 6: Final answer
    x = 971.47

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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.