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Finding the Fourth Proportional to 558.02, 769.10 and 433.15

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Solution

The fourth proportional to 558.02, 769.10 and 433.15 is: 596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.02 : 769.10 = 433.15 : x
  2. Step 2: Convert to fraction form
    558.02/769.10 = 433.15/x
  3. Step 3: Cross multiply
    558.02x = 769.10 × 433.15
  4. Step 4: Simplify right side
    558.02x = 333,131.58
  5. Step 5: Solve for x
    x = 333,131.58/558.02
  6. Step 6: Final answer
    x = 596.99

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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.