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Finding the Fourth Proportional to 634.75, 946.11 and 587.99

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Solution

The fourth proportional to 634.75, 946.11 and 587.99 is: 876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.75 : 946.11 = 587.99 : x
  2. Step 2: Convert to fraction form
    634.75/946.11 = 587.99/x
  3. Step 3: Cross multiply
    634.75x = 946.11 × 587.99
  4. Step 4: Simplify right side
    634.75x = 556,303.22
  5. Step 5: Solve for x
    x = 556,303.22/634.75
  6. Step 6: Final answer
    x = 876.41

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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.