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Finding the Fourth Proportional to 714.59, 1,071.53 and 418.20

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Solution

The fourth proportional to 714.59, 1,071.53 and 418.20 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.59 : 1,071.53 = 418.20 : x
  2. Step 2: Convert to fraction form
    714.59/1,071.53 = 418.20/x
  3. Step 3: Cross multiply
    714.59x = 1,071.53 × 418.20
  4. Step 4: Simplify right side
    714.59x = 448,109.31
  5. Step 5: Solve for x
    x = 448,109.31/714.59
  6. Step 6: Final answer
    x = 627.09

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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.