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Finding the Fourth Proportional to 959.85, 1,440.32 and 521.10

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Solution

The fourth proportional to 959.85, 1,440.32 and 521.10 is: 781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.85 : 1,440.32 = 521.10 : x
  2. Step 2: Convert to fraction form
    959.85/1,440.32 = 521.10/x
  3. Step 3: Cross multiply
    959.85x = 1,440.32 × 521.10
  4. Step 4: Simplify right side
    959.85x = 750,548.15
  5. Step 5: Solve for x
    x = 750,548.15/959.85
  6. Step 6: Final answer
    x = 781.94

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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.