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Finding the Fourth Proportional to 689.80, 953.14 and 543.60

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Solution

The fourth proportional to 689.80, 953.14 and 543.60 is: 751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 953.14 = 543.60 : x
  2. Step 2: Convert to fraction form
    689.80/953.14 = 543.60/x
  3. Step 3: Cross multiply
    689.80x = 953.14 × 543.60
  4. Step 4: Simplify right side
    689.80x = 518,126.90
  5. Step 5: Solve for x
    x = 518,126.90/689.80
  6. Step 6: Final answer
    x = 751.13

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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.