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Finding the Fourth Proportional to 604.70, 905.76 and 538.98

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Solution

The fourth proportional to 604.70, 905.76 and 538.98 is: 807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.70 : 905.76 = 538.98 : x
  2. Step 2: Convert to fraction form
    604.70/905.76 = 538.98/x
  3. Step 3: Cross multiply
    604.70x = 905.76 × 538.98
  4. Step 4: Simplify right side
    604.70x = 488,186.52
  5. Step 5: Solve for x
    x = 488,186.52/604.70
  6. Step 6: Final answer
    x = 807.32

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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.