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Finding the Fourth Proportional to 886.06, 1,328.54 and 771.58

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Solution

The fourth proportional to 886.06, 1,328.54 and 771.58 is: 1,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.06 : 1,328.54 = 771.58 : x
  2. Step 2: Convert to fraction form
    886.06/1,328.54 = 771.58/x
  3. Step 3: Cross multiply
    886.06x = 1,328.54 × 771.58
  4. Step 4: Simplify right side
    886.06x = 1,025,074.89
  5. Step 5: Solve for x
    x = 1,025,074.89/886.06
  6. Step 6: Final answer
    x = 1,156.89

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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.