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Finding the Fourth Proportional to 433.66, 652.84 and 374.13

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Solution

The fourth proportional to 433.66, 652.84 and 374.13 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.66 : 652.84 = 374.13 : x
  2. Step 2: Convert to fraction form
    433.66/652.84 = 374.13/x
  3. Step 3: Cross multiply
    433.66x = 652.84 × 374.13
  4. Step 4: Simplify right side
    433.66x = 244,247.03
  5. Step 5: Solve for x
    x = 244,247.03/433.66
  6. Step 6: Final answer
    x = 563.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.