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Finding the Fourth Proportional to 801.81, 1,196.30 and 714.11

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Solution

The fourth proportional to 801.81, 1,196.30 and 714.11 is: 1,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.81 : 1,196.30 = 714.11 : x
  2. Step 2: Convert to fraction form
    801.81/1,196.30 = 714.11/x
  3. Step 3: Cross multiply
    801.81x = 1,196.30 × 714.11
  4. Step 4: Simplify right side
    801.81x = 854,285.60
  5. Step 5: Solve for x
    x = 854,285.60/801.81
  6. Step 6: Final answer
    x = 1,065.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.