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Finding the Fourth Proportional to 439.48, 602.16 and 433.70

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Solution

The fourth proportional to 439.48, 602.16 and 433.70 is: 594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.48 : 602.16 = 433.70 : x
  2. Step 2: Convert to fraction form
    439.48/602.16 = 433.70/x
  3. Step 3: Cross multiply
    439.48x = 602.16 × 433.70
  4. Step 4: Simplify right side
    439.48x = 261,156.79
  5. Step 5: Solve for x
    x = 261,156.79/439.48
  6. Step 6: Final answer
    x = 594.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.