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Finding the Fourth Proportional to 610.50, 842.88 and 498.74

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Solution

The fourth proportional to 610.50, 842.88 and 498.74 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 842.88 = 498.74 : x
  2. Step 2: Convert to fraction form
    610.50/842.88 = 498.74/x
  3. Step 3: Cross multiply
    610.50x = 842.88 × 498.74
  4. Step 4: Simplify right side
    610.50x = 420,376.36
  5. Step 5: Solve for x
    x = 420,376.36/610.50
  6. Step 6: Final answer
    x = 688.58

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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.