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Finding the Fourth Proportional to 817.41, 1,128.50 and 502.80

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Solution

The fourth proportional to 817.41, 1,128.50 and 502.80 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.41 : 1,128.50 = 502.80 : x
  2. Step 2: Convert to fraction form
    817.41/1,128.50 = 502.80/x
  3. Step 3: Cross multiply
    817.41x = 1,128.50 × 502.80
  4. Step 4: Simplify right side
    817.41x = 567,409.80
  5. Step 5: Solve for x
    x = 567,409.80/817.41
  6. Step 6: Final answer
    x = 694.16

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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.