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Finding the Fourth Proportional to 634.20, 946.09 and 590.01

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Solution

The fourth proportional to 634.20, 946.09 and 590.01 is: 880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.20 : 946.09 = 590.01 : x
  2. Step 2: Convert to fraction form
    634.20/946.09 = 590.01/x
  3. Step 3: Cross multiply
    634.20x = 946.09 × 590.01
  4. Step 4: Simplify right side
    634.20x = 558,202.56
  5. Step 5: Solve for x
    x = 558,202.56/634.20
  6. Step 6: Final answer
    x = 880.17

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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.