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Finding the Fourth Proportional to 862.23, 1,291.29 and 471.65

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Solution

The fourth proportional to 862.23, 1,291.29 and 471.65 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.23 : 1,291.29 = 471.65 : x
  2. Step 2: Convert to fraction form
    862.23/1,291.29 = 471.65/x
  3. Step 3: Cross multiply
    862.23x = 1,291.29 × 471.65
  4. Step 4: Simplify right side
    862.23x = 609,038.62
  5. Step 5: Solve for x
    x = 609,038.62/862.23
  6. Step 6: Final answer
    x = 706.35

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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.