Home / 1,461.45-2,192.55-767.93

Finding the Fourth Proportional to 1,461.45, 2,192.55 and 767.93

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Solution

The fourth proportional to 1,461.45, 2,192.55 and 767.93 is: 1,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.45 : 2,192.55 = 767.93 : x
  2. Step 2: Convert to fraction form
    1,461.45/2,192.55 = 767.93/x
  3. Step 3: Cross multiply
    1,461.45x = 2,192.55 × 767.93
  4. Step 4: Simplify right side
    1,461.45x = 1,683,713.96
  5. Step 5: Solve for x
    x = 1,683,713.96/1,461.45
  6. Step 6: Final answer
    x = 1,152.08

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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.