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Finding the Fourth Proportional to 940.32, 1,298 and 841.90

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Solution

The fourth proportional to 940.32, 1,298 and 841.90 is: 1,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,298 = 841.90 : x
  2. Step 2: Convert to fraction form
    940.32/1,298 = 841.90/x
  3. Step 3: Cross multiply
    940.32x = 1,298 × 841.90
  4. Step 4: Simplify right side
    940.32x = 1,092,786.20
  5. Step 5: Solve for x
    x = 1,092,786.20/940.32
  6. Step 6: Final answer
    x = 1,162.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.