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Finding the Fourth Proportional to 656.24, 988.87 and 543.23

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Solution

The fourth proportional to 656.24, 988.87 and 543.23 is: 818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 988.87 = 543.23 : x
  2. Step 2: Convert to fraction form
    656.24/988.87 = 543.23/x
  3. Step 3: Cross multiply
    656.24x = 988.87 × 543.23
  4. Step 4: Simplify right side
    656.24x = 537,183.85
  5. Step 5: Solve for x
    x = 537,183.85/656.24
  6. Step 6: Final answer
    x = 818.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.