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Finding the Fourth Proportional to 959.06, 1,437.38 and 520.30

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Solution

The fourth proportional to 959.06, 1,437.38 and 520.30 is: 779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.06 : 1,437.38 = 520.30 : x
  2. Step 2: Convert to fraction form
    959.06/1,437.38 = 520.30/x
  3. Step 3: Cross multiply
    959.06x = 1,437.38 × 520.30
  4. Step 4: Simplify right side
    959.06x = 747,868.81
  5. Step 5: Solve for x
    x = 747,868.81/959.06
  6. Step 6: Final answer
    x = 779.79

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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.