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Finding the Fourth Proportional to 798.69, 1,102.14 and 449.40

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Solution

The fourth proportional to 798.69, 1,102.14 and 449.40 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.69 : 1,102.14 = 449.40 : x
  2. Step 2: Convert to fraction form
    798.69/1,102.14 = 449.40/x
  3. Step 3: Cross multiply
    798.69x = 1,102.14 × 449.40
  4. Step 4: Simplify right side
    798.69x = 495,301.72
  5. Step 5: Solve for x
    x = 495,301.72/798.69
  6. Step 6: Final answer
    x = 620.14

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Double scale
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1.5x scale

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.