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Finding the Fourth Proportional to 582.40, 874.05 and 399.79

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Solution

The fourth proportional to 582.40, 874.05 and 399.79 is: 599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 874.05 = 399.79 : x
  2. Step 2: Convert to fraction form
    582.40/874.05 = 399.79/x
  3. Step 3: Cross multiply
    582.40x = 874.05 × 399.79
  4. Step 4: Simplify right side
    582.40x = 349,436.45
  5. Step 5: Solve for x
    x = 349,436.45/582.40
  6. Step 6: Final answer
    x = 599.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.