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Finding the Fourth Proportional to 828.77, 1,143.79 and 474.72

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Solution

The fourth proportional to 828.77, 1,143.79 and 474.72 is: 655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.77 : 1,143.79 = 474.72 : x
  2. Step 2: Convert to fraction form
    828.77/1,143.79 = 474.72/x
  3. Step 3: Cross multiply
    828.77x = 1,143.79 × 474.72
  4. Step 4: Simplify right side
    828.77x = 542,979.99
  5. Step 5: Solve for x
    x = 542,979.99/828.77
  6. Step 6: Final answer
    x = 655.16

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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.