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Finding the Fourth Proportional to 828.63, 1,248.90 and 714.45

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Solution

The fourth proportional to 828.63, 1,248.90 and 714.45 is: 1,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.63 : 1,248.90 = 714.45 : x
  2. Step 2: Convert to fraction form
    828.63/1,248.90 = 714.45/x
  3. Step 3: Cross multiply
    828.63x = 1,248.90 × 714.45
  4. Step 4: Simplify right side
    828.63x = 892,276.61
  5. Step 5: Solve for x
    x = 892,276.61/828.63
  6. Step 6: Final answer
    x = 1,076.81

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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.