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Finding the Fourth Proportional to 538.02, 803.34 and 479.70

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Solution

The fourth proportional to 538.02, 803.34 and 479.70 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.02 : 803.34 = 479.70 : x
  2. Step 2: Convert to fraction form
    538.02/803.34 = 479.70/x
  3. Step 3: Cross multiply
    538.02x = 803.34 × 479.70
  4. Step 4: Simplify right side
    538.02x = 385,362.20
  5. Step 5: Solve for x
    x = 385,362.20/538.02
  6. Step 6: Final answer
    x = 716.26

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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.