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Finding the Fourth Proportional to 823.77, 1,235.66 and 498.76

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Solution

The fourth proportional to 823.77, 1,235.66 and 498.76 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.77 : 1,235.66 = 498.76 : x
  2. Step 2: Convert to fraction form
    823.77/1,235.66 = 498.76/x
  3. Step 3: Cross multiply
    823.77x = 1,235.66 × 498.76
  4. Step 4: Simplify right side
    823.77x = 616,292.20
  5. Step 5: Solve for x
    x = 616,292.20/823.77
  6. Step 6: Final answer
    x = 748.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.