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Finding the Fourth Proportional to 853.89, 1,280.84 and 565.26

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Solution

The fourth proportional to 853.89, 1,280.84 and 565.26 is: 847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.89 : 1,280.84 = 565.26 : x
  2. Step 2: Convert to fraction form
    853.89/1,280.84 = 565.26/x
  3. Step 3: Cross multiply
    853.89x = 1,280.84 × 565.26
  4. Step 4: Simplify right side
    853.89x = 724,004.79
  5. Step 5: Solve for x
    x = 724,004.79/853.89
  6. Step 6: Final answer
    x = 847.89

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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.