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Finding the Fourth Proportional to 581.48, 872.35 and 289.14

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Solution

The fourth proportional to 581.48, 872.35 and 289.14 is: 433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 872.35 = 289.14 : x
  2. Step 2: Convert to fraction form
    581.48/872.35 = 289.14/x
  3. Step 3: Cross multiply
    581.48x = 872.35 × 289.14
  4. Step 4: Simplify right side
    581.48x = 252,225.47
  5. Step 5: Solve for x
    x = 252,225.47/581.48
  6. Step 6: Final answer
    x = 433.76

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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.