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Finding the Fourth Proportional to 811.66, 1,119.33 and 646.42

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Solution

The fourth proportional to 811.66, 1,119.33 and 646.42 is: 891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.66 : 1,119.33 = 646.42 : x
  2. Step 2: Convert to fraction form
    811.66/1,119.33 = 646.42/x
  3. Step 3: Cross multiply
    811.66x = 1,119.33 × 646.42
  4. Step 4: Simplify right side
    811.66x = 723,557.30
  5. Step 5: Solve for x
    x = 723,557.30/811.66
  6. Step 6: Final answer
    x = 891.45

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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.