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Finding the Fourth Proportional to 674.88, 928.98 and 587.40

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Solution

The fourth proportional to 674.88, 928.98 and 587.40 is: 808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.88 : 928.98 = 587.40 : x
  2. Step 2: Convert to fraction form
    674.88/928.98 = 587.40/x
  3. Step 3: Cross multiply
    674.88x = 928.98 × 587.40
  4. Step 4: Simplify right side
    674.88x = 545,682.85
  5. Step 5: Solve for x
    x = 545,682.85/674.88
  6. Step 6: Final answer
    x = 808.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.