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Finding the Fourth Proportional to 981.81, 1,355.02 and 567.81

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Solution

The fourth proportional to 981.81, 1,355.02 and 567.81 is: 783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.81 : 1,355.02 = 567.81 : x
  2. Step 2: Convert to fraction form
    981.81/1,355.02 = 567.81/x
  3. Step 3: Cross multiply
    981.81x = 1,355.02 × 567.81
  4. Step 4: Simplify right side
    981.81x = 769,393.91
  5. Step 5: Solve for x
    x = 769,393.91/981.81
  6. Step 6: Final answer
    x = 783.65

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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.