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Finding the Fourth Proportional to 600.95, 829.41 and 477.55

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Solution

The fourth proportional to 600.95, 829.41 and 477.55 is: 659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.95 : 829.41 = 477.55 : x
  2. Step 2: Convert to fraction form
    600.95/829.41 = 477.55/x
  3. Step 3: Cross multiply
    600.95x = 829.41 × 477.55
  4. Step 4: Simplify right side
    600.95x = 396,084.75
  5. Step 5: Solve for x
    x = 396,084.75/600.95
  6. Step 6: Final answer
    x = 659.10

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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.