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Finding the Fourth Proportional to 591.08, 885.48 and 282.51

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Solution

The fourth proportional to 591.08, 885.48 and 282.51 is: 423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.08 : 885.48 = 282.51 : x
  2. Step 2: Convert to fraction form
    591.08/885.48 = 282.51/x
  3. Step 3: Cross multiply
    591.08x = 885.48 × 282.51
  4. Step 4: Simplify right side
    591.08x = 250,156.95
  5. Step 5: Solve for x
    x = 250,156.95/591.08
  6. Step 6: Final answer
    x = 423.22

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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.