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Finding the Fourth Proportional to 714.32, 1,069.86 and 454.32

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Solution

The fourth proportional to 714.32, 1,069.86 and 454.32 is: 680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.32 : 1,069.86 = 454.32 : x
  2. Step 2: Convert to fraction form
    714.32/1,069.86 = 454.32/x
  3. Step 3: Cross multiply
    714.32x = 1,069.86 × 454.32
  4. Step 4: Simplify right side
    714.32x = 486,058.80
  5. Step 5: Solve for x
    x = 486,058.80/714.32
  6. Step 6: Final answer
    x = 680.45

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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.