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Finding the Fourth Proportional to 871.86, 1,203.36 and 603.06

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Solution

The fourth proportional to 871.86, 1,203.36 and 603.06 is: 832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.86 : 1,203.36 = 603.06 : x
  2. Step 2: Convert to fraction form
    871.86/1,203.36 = 603.06/x
  3. Step 3: Cross multiply
    871.86x = 1,203.36 × 603.06
  4. Step 4: Simplify right side
    871.86x = 725,700.54
  5. Step 5: Solve for x
    x = 725,700.54/871.86
  6. Step 6: Final answer
    x = 832.36

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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.