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Finding the Fourth Proportional to 1,303.35, 1,950.13 and 914.11

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Solution

The fourth proportional to 1,303.35, 1,950.13 and 914.11 is: 1,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.35 : 1,950.13 = 914.11 : x
  2. Step 2: Convert to fraction form
    1,303.35/1,950.13 = 914.11/x
  3. Step 3: Cross multiply
    1,303.35x = 1,950.13 × 914.11
  4. Step 4: Simplify right side
    1,303.35x = 1,782,637.26
  5. Step 5: Solve for x
    x = 1,782,637.26/1,303.35
  6. Step 6: Final answer
    x = 1,367.73

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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.