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Finding the Fourth Proportional to 599.99, 827.55 and 475.61

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Solution

The fourth proportional to 599.99, 827.55 and 475.61 is: 655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.99 : 827.55 = 475.61 : x
  2. Step 2: Convert to fraction form
    599.99/827.55 = 475.61/x
  3. Step 3: Cross multiply
    599.99x = 827.55 × 475.61
  4. Step 4: Simplify right side
    599.99x = 393,586.92
  5. Step 5: Solve for x
    x = 393,586.92/599.99
  6. Step 6: Final answer
    x = 655.99

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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.