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Finding the Fourth Proportional to 604.72, 901.85 and 514

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Solution

The fourth proportional to 604.72, 901.85 and 514 is: 766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 901.85 = 514 : x
  2. Step 2: Convert to fraction form
    604.72/901.85 = 514/x
  3. Step 3: Cross multiply
    604.72x = 901.85 × 514
  4. Step 4: Simplify right side
    604.72x = 463,550.90
  5. Step 5: Solve for x
    x = 463,550.90/604.72
  6. Step 6: Final answer
    x = 766.55

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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.