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Finding the Fourth Proportional to 844.57, 1,165.23 and 471.49

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Solution

The fourth proportional to 844.57, 1,165.23 and 471.49 is: 650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.57 : 1,165.23 = 471.49 : x
  2. Step 2: Convert to fraction form
    844.57/1,165.23 = 471.49/x
  3. Step 3: Cross multiply
    844.57x = 1,165.23 × 471.49
  4. Step 4: Simplify right side
    844.57x = 549,386.11
  5. Step 5: Solve for x
    x = 549,386.11/844.57
  6. Step 6: Final answer
    x = 650.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.