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Finding the Fourth Proportional to 903.96, 1,244.16 and 842.40

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Solution

The fourth proportional to 903.96, 1,244.16 and 842.40 is: 1,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.96 : 1,244.16 = 842.40 : x
  2. Step 2: Convert to fraction form
    903.96/1,244.16 = 842.40/x
  3. Step 3: Cross multiply
    903.96x = 1,244.16 × 842.40
  4. Step 4: Simplify right side
    903.96x = 1,048,080.38
  5. Step 5: Solve for x
    x = 1,048,080.38/903.96
  6. Step 6: Final answer
    x = 1,159.43

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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.