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Finding the Fourth Proportional to 598.80, 827.40 and 433.56

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Solution

The fourth proportional to 598.80, 827.40 and 433.56 is: 599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 827.40 = 433.56 : x
  2. Step 2: Convert to fraction form
    598.80/827.40 = 433.56/x
  3. Step 3: Cross multiply
    598.80x = 827.40 × 433.56
  4. Step 4: Simplify right side
    598.80x = 358,727.54
  5. Step 5: Solve for x
    x = 358,727.54/598.80
  6. Step 6: Final answer
    x = 599.08

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Double scale
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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.