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Finding the Fourth Proportional to 714.61, 1,076.19 and 628.88

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Solution

The fourth proportional to 714.61, 1,076.19 and 628.88 is: 947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.61 : 1,076.19 = 628.88 : x
  2. Step 2: Convert to fraction form
    714.61/1,076.19 = 628.88/x
  3. Step 3: Cross multiply
    714.61x = 1,076.19 × 628.88
  4. Step 4: Simplify right side
    714.61x = 676,788.99
  5. Step 5: Solve for x
    x = 676,788.99/714.61
  6. Step 6: Final answer
    x = 947.08

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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.