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Finding the Fourth Proportional to 1,142.85, 1,714.29 and 526.39

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Solution

The fourth proportional to 1,142.85, 1,714.29 and 526.39 is: 789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.85 : 1,714.29 = 526.39 : x
  2. Step 2: Convert to fraction form
    1,142.85/1,714.29 = 526.39/x
  3. Step 3: Cross multiply
    1,142.85x = 1,714.29 × 526.39
  4. Step 4: Simplify right side
    1,142.85x = 902,385.11
  5. Step 5: Solve for x
    x = 902,385.11/1,142.85
  6. Step 6: Final answer
    x = 789.59

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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.