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Finding the Fourth Proportional to 538.16, 801.84 and 502.80

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Solution

The fourth proportional to 538.16, 801.84 and 502.80 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 801.84 = 502.80 : x
  2. Step 2: Convert to fraction form
    538.16/801.84 = 502.80/x
  3. Step 3: Cross multiply
    538.16x = 801.84 × 502.80
  4. Step 4: Simplify right side
    538.16x = 403,164.64
  5. Step 5: Solve for x
    x = 403,164.64/538.16
  6. Step 6: Final answer
    x = 749.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.