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Finding the Fourth Proportional to 956.89, 1,434.56 and 590.90

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Solution

The fourth proportional to 956.89, 1,434.56 and 590.90 is: 885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.89 : 1,434.56 = 590.90 : x
  2. Step 2: Convert to fraction form
    956.89/1,434.56 = 590.90/x
  3. Step 3: Cross multiply
    956.89x = 1,434.56 × 590.90
  4. Step 4: Simplify right side
    956.89x = 847,682.14
  5. Step 5: Solve for x
    x = 847,682.14/956.89
  6. Step 6: Final answer
    x = 885.87

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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.