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Finding the Fourth Proportional to 801.49, 1,106.81 and 589.81

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Solution

The fourth proportional to 801.49, 1,106.81 and 589.81 is: 814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.49 : 1,106.81 = 589.81 : x
  2. Step 2: Convert to fraction form
    801.49/1,106.81 = 589.81/x
  3. Step 3: Cross multiply
    801.49x = 1,106.81 × 589.81
  4. Step 4: Simplify right side
    801.49x = 652,804.66
  5. Step 5: Solve for x
    x = 652,804.66/801.49
  6. Step 6: Final answer
    x = 814.49

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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.