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Finding the Fourth Proportional to 892.91, 1,340.91 and 529.98

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Solution

The fourth proportional to 892.91, 1,340.91 and 529.98 is: 795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.91 : 1,340.91 = 529.98 : x
  2. Step 2: Convert to fraction form
    892.91/1,340.91 = 529.98/x
  3. Step 3: Cross multiply
    892.91x = 1,340.91 × 529.98
  4. Step 4: Simplify right side
    892.91x = 710,650.45
  5. Step 5: Solve for x
    x = 710,650.45/892.91
  6. Step 6: Final answer
    x = 795.88

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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.