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Finding the Fourth Proportional to 696.55, 1,045.74 and 543.46

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Solution

The fourth proportional to 696.55, 1,045.74 and 543.46 is: 815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.55 : 1,045.74 = 543.46 : x
  2. Step 2: Convert to fraction form
    696.55/1,045.74 = 543.46/x
  3. Step 3: Cross multiply
    696.55x = 1,045.74 × 543.46
  4. Step 4: Simplify right side
    696.55x = 568,317.86
  5. Step 5: Solve for x
    x = 568,317.86/696.55
  6. Step 6: Final answer
    x = 815.90

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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.