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Finding the Fourth Proportional to 714.40, 1,071.60 and 349.42

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Solution

The fourth proportional to 714.40, 1,071.60 and 349.42 is: 524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.40 : 1,071.60 = 349.42 : x
  2. Step 2: Convert to fraction form
    714.40/1,071.60 = 349.42/x
  3. Step 3: Cross multiply
    714.40x = 1,071.60 × 349.42
  4. Step 4: Simplify right side
    714.40x = 374,438.47
  5. Step 5: Solve for x
    x = 374,438.47/714.40
  6. Step 6: Final answer
    x = 524.13

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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.