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Finding the Fourth Proportional to 659.77, 987.21 and 543.13

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Solution

The fourth proportional to 659.77, 987.21 and 543.13 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.77 : 987.21 = 543.13 : x
  2. Step 2: Convert to fraction form
    659.77/987.21 = 543.13/x
  3. Step 3: Cross multiply
    659.77x = 987.21 × 543.13
  4. Step 4: Simplify right side
    659.77x = 536,178.43
  5. Step 5: Solve for x
    x = 536,178.43/659.77
  6. Step 6: Final answer
    x = 812.68

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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.