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Finding the Fourth Proportional to 534.24, 803.80 and 317.98

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Solution

The fourth proportional to 534.24, 803.80 and 317.98 is: 478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 803.80 = 317.98 : x
  2. Step 2: Convert to fraction form
    534.24/803.80 = 317.98/x
  3. Step 3: Cross multiply
    534.24x = 803.80 × 317.98
  4. Step 4: Simplify right side
    534.24x = 255,592.32
  5. Step 5: Solve for x
    x = 255,592.32/534.24
  6. Step 6: Final answer
    x = 478.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.