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Finding the Fourth Proportional to 538.34, 803.05 and 472.73

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Solution

The fourth proportional to 538.34, 803.05 and 472.73 is: 705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.34 : 803.05 = 472.73 : x
  2. Step 2: Convert to fraction form
    538.34/803.05 = 472.73/x
  3. Step 3: Cross multiply
    538.34x = 803.05 × 472.73
  4. Step 4: Simplify right side
    538.34x = 379,625.83
  5. Step 5: Solve for x
    x = 379,625.83/538.34
  6. Step 6: Final answer
    x = 705.18

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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.