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Finding the Fourth Proportional to 892.93, 1,339.20 and 586.93

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Solution

The fourth proportional to 892.93, 1,339.20 and 586.93 is: 880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.93 : 1,339.20 = 586.93 : x
  2. Step 2: Convert to fraction form
    892.93/1,339.20 = 586.93/x
  3. Step 3: Cross multiply
    892.93x = 1,339.20 × 586.93
  4. Step 4: Simplify right side
    892.93x = 786,016.66
  5. Step 5: Solve for x
    x = 786,016.66/892.93
  6. Step 6: Final answer
    x = 880.27

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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.