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Finding the Fourth Proportional to 714.42, 1,071.54 and 201.42

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Solution

The fourth proportional to 714.42, 1,071.54 and 201.42 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,071.54 = 201.42 : x
  2. Step 2: Convert to fraction form
    714.42/1,071.54 = 201.42/x
  3. Step 3: Cross multiply
    714.42x = 1,071.54 × 201.42
  4. Step 4: Simplify right side
    714.42x = 215,829.59
  5. Step 5: Solve for x
    x = 215,829.59/714.42
  6. Step 6: Final answer
    x = 302.10

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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.