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Finding the Fourth Proportional to 699.47, 966.06 and 543.98

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Solution

The fourth proportional to 699.47, 966.06 and 543.98 is: 751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.47 : 966.06 = 543.98 : x
  2. Step 2: Convert to fraction form
    699.47/966.06 = 543.98/x
  3. Step 3: Cross multiply
    699.47x = 966.06 × 543.98
  4. Step 4: Simplify right side
    699.47x = 525,517.32
  5. Step 5: Solve for x
    x = 525,517.32/699.47
  6. Step 6: Final answer
    x = 751.31

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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.