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Finding the Fourth Proportional to 855.19, 1,281.15 and 565.75

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Solution

The fourth proportional to 855.19, 1,281.15 and 565.75 is: 847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.19 : 1,281.15 = 565.75 : x
  2. Step 2: Convert to fraction form
    855.19/1,281.15 = 565.75/x
  3. Step 3: Cross multiply
    855.19x = 1,281.15 × 565.75
  4. Step 4: Simplify right side
    855.19x = 724,810.61
  5. Step 5: Solve for x
    x = 724,810.61/855.19
  6. Step 6: Final answer
    x = 847.54

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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.