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Finding the Fourth Proportional to 714.61, 1,066.78 and 622.33

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Solution

The fourth proportional to 714.61, 1,066.78 and 622.33 is: 929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.61 : 1,066.78 = 622.33 : x
  2. Step 2: Convert to fraction form
    714.61/1,066.78 = 622.33/x
  3. Step 3: Cross multiply
    714.61x = 1,066.78 × 622.33
  4. Step 4: Simplify right side
    714.61x = 663,889.20
  5. Step 5: Solve for x
    x = 663,889.20/714.61
  6. Step 6: Final answer
    x = 929.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.