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Finding the Fourth Proportional to 1,022.88, 1,411.08 and 603.18

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Solution

The fourth proportional to 1,022.88, 1,411.08 and 603.18 is: 832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.88 : 1,411.08 = 603.18 : x
  2. Step 2: Convert to fraction form
    1,022.88/1,411.08 = 603.18/x
  3. Step 3: Cross multiply
    1,022.88x = 1,411.08 × 603.18
  4. Step 4: Simplify right side
    1,022.88x = 851,135.23
  5. Step 5: Solve for x
    x = 851,135.23/1,022.88
  6. Step 6: Final answer
    x = 832.10

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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.