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Finding the Fourth Proportional to 497.85, 687.35 and 340.74

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Solution

The fourth proportional to 497.85, 687.35 and 340.74 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.85 : 687.35 = 340.74 : x
  2. Step 2: Convert to fraction form
    497.85/687.35 = 340.74/x
  3. Step 3: Cross multiply
    497.85x = 687.35 × 340.74
  4. Step 4: Simplify right side
    497.85x = 234,205.94
  5. Step 5: Solve for x
    x = 234,205.94/497.85
  6. Step 6: Final answer
    x = 470.44

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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.