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Finding the Fourth Proportional to 685.77, 1,026.98 and 588.57

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Solution

The fourth proportional to 685.77, 1,026.98 and 588.57 is: 881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.77 : 1,026.98 = 588.57 : x
  2. Step 2: Convert to fraction form
    685.77/1,026.98 = 588.57/x
  3. Step 3: Cross multiply
    685.77x = 1,026.98 × 588.57
  4. Step 4: Simplify right side
    685.77x = 604,445.03
  5. Step 5: Solve for x
    x = 604,445.03/685.77
  6. Step 6: Final answer
    x = 881.42

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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.