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Finding the Fourth Proportional to 578.16, 865.80 and 533.04

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Solution

The fourth proportional to 578.16, 865.80 and 533.04 is: 798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 865.80 = 533.04 : x
  2. Step 2: Convert to fraction form
    578.16/865.80 = 533.04/x
  3. Step 3: Cross multiply
    578.16x = 865.80 × 533.04
  4. Step 4: Simplify right side
    578.16x = 461,506.03
  5. Step 5: Solve for x
    x = 461,506.03/578.16
  6. Step 6: Final answer
    x = 798.23

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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.