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Finding the Fourth Proportional to 890.28, 1,335 and 577.42

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Solution

The fourth proportional to 890.28, 1,335 and 577.42 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.28 : 1,335 = 577.42 : x
  2. Step 2: Convert to fraction form
    890.28/1,335 = 577.42/x
  3. Step 3: Cross multiply
    890.28x = 1,335 × 577.42
  4. Step 4: Simplify right side
    890.28x = 770,855.70
  5. Step 5: Solve for x
    x = 770,855.70/890.28
  6. Step 6: Final answer
    x = 865.86

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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.