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Finding the Fourth Proportional to 714.03, 1,071.20 and 406.03

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Solution

The fourth proportional to 714.03, 1,071.20 and 406.03 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.03 : 1,071.20 = 406.03 : x
  2. Step 2: Convert to fraction form
    714.03/1,071.20 = 406.03/x
  3. Step 3: Cross multiply
    714.03x = 1,071.20 × 406.03
  4. Step 4: Simplify right side
    714.03x = 434,939.34
  5. Step 5: Solve for x
    x = 434,939.34/714.03
  6. Step 6: Final answer
    x = 609.13

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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.