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Finding the Fourth Proportional to 828.24, 1,143.36 and 478.86

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Solution

The fourth proportional to 828.24, 1,143.36 and 478.86 is: 661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,143.36 = 478.86 : x
  2. Step 2: Convert to fraction form
    828.24/1,143.36 = 478.86/x
  3. Step 3: Cross multiply
    828.24x = 1,143.36 × 478.86
  4. Step 4: Simplify right side
    828.24x = 547,509.37
  5. Step 5: Solve for x
    x = 547,509.37/828.24
  6. Step 6: Final answer
    x = 661.05

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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.