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Finding the Fourth Proportional to 862.54, 1,291.26 and 569.50

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Solution

The fourth proportional to 862.54, 1,291.26 and 569.50 is: 852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.54 : 1,291.26 = 569.50 : x
  2. Step 2: Convert to fraction form
    862.54/1,291.26 = 569.50/x
  3. Step 3: Cross multiply
    862.54x = 1,291.26 × 569.50
  4. Step 4: Simplify right side
    862.54x = 735,372.57
  5. Step 5: Solve for x
    x = 735,372.57/862.54
  6. Step 6: Final answer
    x = 852.57

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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.