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Finding the Fourth Proportional to 608.20, 838.80 and 433.24

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Solution

The fourth proportional to 608.20, 838.80 and 433.24 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.20 : 838.80 = 433.24 : x
  2. Step 2: Convert to fraction form
    608.20/838.80 = 433.24/x
  3. Step 3: Cross multiply
    608.20x = 838.80 × 433.24
  4. Step 4: Simplify right side
    608.20x = 363,401.71
  5. Step 5: Solve for x
    x = 363,401.71/608.20
  6. Step 6: Final answer
    x = 597.50

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1.5x scale

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.