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Finding the Fourth Proportional to 532.88, 803.34 and 498.80

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Solution

The fourth proportional to 532.88, 803.34 and 498.80 is: 751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 803.34 = 498.80 : x
  2. Step 2: Convert to fraction form
    532.88/803.34 = 498.80/x
  3. Step 3: Cross multiply
    532.88x = 803.34 × 498.80
  4. Step 4: Simplify right side
    532.88x = 400,705.99
  5. Step 5: Solve for x
    x = 400,705.99/532.88
  6. Step 6: Final answer
    x = 751.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.