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Finding the Fourth Proportional to 890.43, 1,335.45 and 584.43

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Solution

The fourth proportional to 890.43, 1,335.45 and 584.43 is: 876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.43 : 1,335.45 = 584.43 : x
  2. Step 2: Convert to fraction form
    890.43/1,335.45 = 584.43/x
  3. Step 3: Cross multiply
    890.43x = 1,335.45 × 584.43
  4. Step 4: Simplify right side
    890.43x = 780,477.04
  5. Step 5: Solve for x
    x = 780,477.04/890.43
  6. Step 6: Final answer
    x = 876.52

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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.