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Finding the Fourth Proportional to 685.40, 1,023.37 and 587.74

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Solution

The fourth proportional to 685.40, 1,023.37 and 587.74 is: 877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 1,023.37 = 587.74 : x
  2. Step 2: Convert to fraction form
    685.40/1,023.37 = 587.74/x
  3. Step 3: Cross multiply
    685.40x = 1,023.37 × 587.74
  4. Step 4: Simplify right side
    685.40x = 601,475.48
  5. Step 5: Solve for x
    x = 601,475.48/685.40
  6. Step 6: Final answer
    x = 877.55

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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.