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Finding the Fourth Proportional to 1,022.50, 1,411.17 and 608.50

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Solution

The fourth proportional to 1,022.50, 1,411.17 and 608.50 is: 839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.50 : 1,411.17 = 608.50 : x
  2. Step 2: Convert to fraction form
    1,022.50/1,411.17 = 608.50/x
  3. Step 3: Cross multiply
    1,022.50x = 1,411.17 × 608.50
  4. Step 4: Simplify right side
    1,022.50x = 858,696.95
  5. Step 5: Solve for x
    x = 858,696.95/1,022.50
  6. Step 6: Final answer
    x = 839.80

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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.