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Finding the Fourth Proportional to 1,461.42, 2,192.76 and 767.92

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Solution

The fourth proportional to 1,461.42, 2,192.76 and 767.92 is: 1,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.42 : 2,192.76 = 767.92 : x
  2. Step 2: Convert to fraction form
    1,461.42/2,192.76 = 767.92/x
  3. Step 3: Cross multiply
    1,461.42x = 2,192.76 × 767.92
  4. Step 4: Simplify right side
    1,461.42x = 1,683,864.26
  5. Step 5: Solve for x
    x = 1,683,864.26/1,461.42
  6. Step 6: Final answer
    x = 1,152.21

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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.