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Finding the Fourth Proportional to 958.76, 1,440.71 and 520.33

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Solution

The fourth proportional to 958.76, 1,440.71 and 520.33 is: 781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.76 : 1,440.71 = 520.33 : x
  2. Step 2: Convert to fraction form
    958.76/1,440.71 = 520.33/x
  3. Step 3: Cross multiply
    958.76x = 1,440.71 × 520.33
  4. Step 4: Simplify right side
    958.76x = 749,643.83
  5. Step 5: Solve for x
    x = 749,643.83/958.76
  6. Step 6: Final answer
    x = 781.89

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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.