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Finding the Fourth Proportional to 714.42, 1,072.02 and 471.06

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Solution

The fourth proportional to 714.42, 1,072.02 and 471.06 is: 706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,072.02 = 471.06 : x
  2. Step 2: Convert to fraction form
    714.42/1,072.02 = 471.06/x
  3. Step 3: Cross multiply
    714.42x = 1,072.02 × 471.06
  4. Step 4: Simplify right side
    714.42x = 504,985.74
  5. Step 5: Solve for x
    x = 504,985.74/714.42
  6. Step 6: Final answer
    x = 706.85

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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.