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Finding the Fourth Proportional to 824.61, 1,236.63 and 592.80

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Solution

The fourth proportional to 824.61, 1,236.63 and 592.80 is: 889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.61 : 1,236.63 = 592.80 : x
  2. Step 2: Convert to fraction form
    824.61/1,236.63 = 592.80/x
  3. Step 3: Cross multiply
    824.61x = 1,236.63 × 592.80
  4. Step 4: Simplify right side
    824.61x = 733,074.26
  5. Step 5: Solve for x
    x = 733,074.26/824.61
  6. Step 6: Final answer
    x = 889.00

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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.