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Finding the Fourth Proportional to 578.47, 867.80 and 193.63

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Solution

The fourth proportional to 578.47, 867.80 and 193.63 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.47 : 867.80 = 193.63 : x
  2. Step 2: Convert to fraction form
    578.47/867.80 = 193.63/x
  3. Step 3: Cross multiply
    578.47x = 867.80 × 193.63
  4. Step 4: Simplify right side
    578.47x = 168,032.11
  5. Step 5: Solve for x
    x = 168,032.11/578.47
  6. Step 6: Final answer
    x = 290.48

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1.5x scale

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.