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Finding the Fourth Proportional to 1,665.42, 2,497.34 and 495.12

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Solution

The fourth proportional to 1,665.42, 2,497.34 and 495.12 is: 742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.42 : 2,497.34 = 495.12 : x
  2. Step 2: Convert to fraction form
    1,665.42/2,497.34 = 495.12/x
  3. Step 3: Cross multiply
    1,665.42x = 2,497.34 × 495.12
  4. Step 4: Simplify right side
    1,665.42x = 1,236,486.76
  5. Step 5: Solve for x
    x = 1,236,486.76/1,665.42
  6. Step 6: Final answer
    x = 742.45

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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.