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Finding the Fourth Proportional to 714.86, 1,071.87 and 350.24

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Solution

The fourth proportional to 714.86, 1,071.87 and 350.24 is: 525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.86 : 1,071.87 = 350.24 : x
  2. Step 2: Convert to fraction form
    714.86/1,071.87 = 350.24/x
  3. Step 3: Cross multiply
    714.86x = 1,071.87 × 350.24
  4. Step 4: Simplify right side
    714.86x = 375,411.75
  5. Step 5: Solve for x
    x = 375,411.75/714.86
  6. Step 6: Final answer
    x = 525.15

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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.