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Finding the Fourth Proportional to 1,411.95, 2,117.39 and 567.39

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Solution

The fourth proportional to 1,411.95, 2,117.39 and 567.39 is: 850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.95 : 2,117.39 = 567.39 : x
  2. Step 2: Convert to fraction form
    1,411.95/2,117.39 = 567.39/x
  3. Step 3: Cross multiply
    1,411.95x = 2,117.39 × 567.39
  4. Step 4: Simplify right side
    1,411.95x = 1,201,385.91
  5. Step 5: Solve for x
    x = 1,201,385.91/1,411.95
  6. Step 6: Final answer
    x = 850.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.