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Finding the Fourth Proportional to 578.04, 865.80 and 533.08

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Solution

The fourth proportional to 578.04, 865.80 and 533.08 is: 798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 865.80 = 533.08 : x
  2. Step 2: Convert to fraction form
    578.04/865.80 = 533.08/x
  3. Step 3: Cross multiply
    578.04x = 865.80 × 533.08
  4. Step 4: Simplify right side
    578.04x = 461,540.66
  5. Step 5: Solve for x
    x = 461,540.66/578.04
  6. Step 6: Final answer
    x = 798.46

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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.