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Finding the Fourth Proportional to 1,023.42, 1,411.85 and 603.57

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Solution

The fourth proportional to 1,023.42, 1,411.85 and 603.57 is: 832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.42 : 1,411.85 = 603.57 : x
  2. Step 2: Convert to fraction form
    1,023.42/1,411.85 = 603.57/x
  3. Step 3: Cross multiply
    1,023.42x = 1,411.85 × 603.57
  4. Step 4: Simplify right side
    1,023.42x = 852,147.29
  5. Step 5: Solve for x
    x = 852,147.29/1,023.42
  6. Step 6: Final answer
    x = 832.65

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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.