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Finding the Fourth Proportional to 940.85, 1,411.48 and 282.70

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Solution

The fourth proportional to 940.85, 1,411.48 and 282.70 is: 424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.85 : 1,411.48 = 282.70 : x
  2. Step 2: Convert to fraction form
    940.85/1,411.48 = 282.70/x
  3. Step 3: Cross multiply
    940.85x = 1,411.48 × 282.70
  4. Step 4: Simplify right side
    940.85x = 399,030.42
  5. Step 5: Solve for x
    x = 399,030.42/940.85
  6. Step 6: Final answer
    x = 424.11

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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.