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Finding the Fourth Proportional to 578.68, 797.76 and 392.08

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Solution

The fourth proportional to 578.68, 797.76 and 392.08 is: 540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 797.76 = 392.08 : x
  2. Step 2: Convert to fraction form
    578.68/797.76 = 392.08/x
  3. Step 3: Cross multiply
    578.68x = 797.76 × 392.08
  4. Step 4: Simplify right side
    578.68x = 312,785.74
  5. Step 5: Solve for x
    x = 312,785.74/578.68
  6. Step 6: Final answer
    x = 540.52

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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.