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Finding the Fourth Proportional to 1,493.42, 2,238.18 and 614.93

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Solution

The fourth proportional to 1,493.42, 2,238.18 and 614.93 is: 921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.42 : 2,238.18 = 614.93 : x
  2. Step 2: Convert to fraction form
    1,493.42/2,238.18 = 614.93/x
  3. Step 3: Cross multiply
    1,493.42x = 2,238.18 × 614.93
  4. Step 4: Simplify right side
    1,493.42x = 1,376,313.99
  5. Step 5: Solve for x
    x = 1,376,313.99/1,493.42
  6. Step 6: Final answer
    x = 921.58

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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.