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Finding the Fourth Proportional to 634.99, 946.90 and 584.50

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Solution

The fourth proportional to 634.99, 946.90 and 584.50 is: 871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.99 : 946.90 = 584.50 : x
  2. Step 2: Convert to fraction form
    634.99/946.90 = 584.50/x
  3. Step 3: Cross multiply
    634.99x = 946.90 × 584.50
  4. Step 4: Simplify right side
    634.99x = 553,468.01
  5. Step 5: Solve for x
    x = 553,468.01/634.99
  6. Step 6: Final answer
    x = 871.61

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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.