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Finding the Fourth Proportional to 1,023.09, 1,411.62 and 603.42

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Solution

The fourth proportional to 1,023.09, 1,411.62 and 603.42 is: 832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.09 : 1,411.62 = 603.42 : x
  2. Step 2: Convert to fraction form
    1,023.09/1,411.62 = 603.42/x
  3. Step 3: Cross multiply
    1,023.09x = 1,411.62 × 603.42
  4. Step 4: Simplify right side
    1,023.09x = 851,799.74
  5. Step 5: Solve for x
    x = 851,799.74/1,023.09
  6. Step 6: Final answer
    x = 832.58

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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.