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Finding the Fourth Proportional to 578.12, 865.10 and 501.33

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Solution

The fourth proportional to 578.12, 865.10 and 501.33 is: 750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.12 : 865.10 = 501.33 : x
  2. Step 2: Convert to fraction form
    578.12/865.10 = 501.33/x
  3. Step 3: Cross multiply
    578.12x = 865.10 × 501.33
  4. Step 4: Simplify right side
    578.12x = 433,698.08
  5. Step 5: Solve for x
    x = 433,698.08/578.12
  6. Step 6: Final answer
    x = 750.19

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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.