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Finding the Fourth Proportional to 802.42, 1,106.66 and 636.37

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Solution

The fourth proportional to 802.42, 1,106.66 and 636.37 is: 877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,106.66 = 636.37 : x
  2. Step 2: Convert to fraction form
    802.42/1,106.66 = 636.37/x
  3. Step 3: Cross multiply
    802.42x = 1,106.66 × 636.37
  4. Step 4: Simplify right side
    802.42x = 704,244.05
  5. Step 5: Solve for x
    x = 704,244.05/802.42
  6. Step 6: Final answer
    x = 877.65

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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.