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Finding the Fourth Proportional to 599.70, 831.36 and 566.85

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Solution

The fourth proportional to 599.70, 831.36 and 566.85 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 831.36 = 566.85 : x
  2. Step 2: Convert to fraction form
    599.70/831.36 = 566.85/x
  3. Step 3: Cross multiply
    599.70x = 831.36 × 566.85
  4. Step 4: Simplify right side
    599.70x = 471,256.42
  5. Step 5: Solve for x
    x = 471,256.42/599.70
  6. Step 6: Final answer
    x = 785.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.