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Finding the Fourth Proportional to 828.59, 1,243.35 and 707.41

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Solution

The fourth proportional to 828.59, 1,243.35 and 707.41 is: 1,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.59 : 1,243.35 = 707.41 : x
  2. Step 2: Convert to fraction form
    828.59/1,243.35 = 707.41/x
  3. Step 3: Cross multiply
    828.59x = 1,243.35 × 707.41
  4. Step 4: Simplify right side
    828.59x = 879,555.12
  5. Step 5: Solve for x
    x = 879,555.12/828.59
  6. Step 6: Final answer
    x = 1,061.51

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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.