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Finding the Fourth Proportional to 588.40, 877.98 and 536.66

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Solution

The fourth proportional to 588.40, 877.98 and 536.66 is: 800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.40 : 877.98 = 536.66 : x
  2. Step 2: Convert to fraction form
    588.40/877.98 = 536.66/x
  3. Step 3: Cross multiply
    588.40x = 877.98 × 536.66
  4. Step 4: Simplify right side
    588.40x = 471,176.75
  5. Step 5: Solve for x
    x = 471,176.75/588.40
  6. Step 6: Final answer
    x = 800.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.