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Finding the Fourth Proportional to 823.55, 1,234.10 and 457.83

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Solution

The fourth proportional to 823.55, 1,234.10 and 457.83 is: 686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.55 : 1,234.10 = 457.83 : x
  2. Step 2: Convert to fraction form
    823.55/1,234.10 = 457.83/x
  3. Step 3: Cross multiply
    823.55x = 1,234.10 × 457.83
  4. Step 4: Simplify right side
    823.55x = 565,005.71
  5. Step 5: Solve for x
    x = 565,005.71/823.55
  6. Step 6: Final answer
    x = 686.07

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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.