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Finding the Fourth Proportional to 604.06, 901.40 and 534.85

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Solution

The fourth proportional to 604.06, 901.40 and 534.85 is: 798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.06 : 901.40 = 534.85 : x
  2. Step 2: Convert to fraction form
    604.06/901.40 = 534.85/x
  3. Step 3: Cross multiply
    604.06x = 901.40 × 534.85
  4. Step 4: Simplify right side
    604.06x = 482,108.86
  5. Step 5: Solve for x
    x = 482,108.86/604.06
  6. Step 6: Final answer
    x = 798.12

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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.