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Finding the Fourth Proportional to 981.50, 1,354.71 and 567.74

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Solution

The fourth proportional to 981.50, 1,354.71 and 567.74 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.50 : 1,354.71 = 567.74 : x
  2. Step 2: Convert to fraction form
    981.50/1,354.71 = 567.74/x
  3. Step 3: Cross multiply
    981.50x = 1,354.71 × 567.74
  4. Step 4: Simplify right side
    981.50x = 769,123.06
  5. Step 5: Solve for x
    x = 769,123.06/981.50
  6. Step 6: Final answer
    x = 783.62

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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.