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Finding the Fourth Proportional to 1,301.10, 1,950.45 and 520.71

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Solution

The fourth proportional to 1,301.10, 1,950.45 and 520.71 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.10 : 1,950.45 = 520.71 : x
  2. Step 2: Convert to fraction form
    1,301.10/1,950.45 = 520.71/x
  3. Step 3: Cross multiply
    1,301.10x = 1,950.45 × 520.71
  4. Step 4: Simplify right side
    1,301.10x = 1,015,618.82
  5. Step 5: Solve for x
    x = 1,015,618.82/1,301.10
  6. Step 6: Final answer
    x = 780.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.