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Finding the Fourth Proportional to 578.64, 867.84 and 346.80

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Solution

The fourth proportional to 578.64, 867.84 and 346.80 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 867.84 = 346.80 : x
  2. Step 2: Convert to fraction form
    578.64/867.84 = 346.80/x
  3. Step 3: Cross multiply
    578.64x = 867.84 × 346.80
  4. Step 4: Simplify right side
    578.64x = 300,966.91
  5. Step 5: Solve for x
    x = 300,966.91/578.64
  6. Step 6: Final answer
    x = 520.13

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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.