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Finding the Fourth Proportional to 634.94, 877.07 and 511.07

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Solution

The fourth proportional to 634.94, 877.07 and 511.07 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.94 : 877.07 = 511.07 : x
  2. Step 2: Convert to fraction form
    634.94/877.07 = 511.07/x
  3. Step 3: Cross multiply
    634.94x = 877.07 × 511.07
  4. Step 4: Simplify right side
    634.94x = 448,237.22
  5. Step 5: Solve for x
    x = 448,237.22/634.94
  6. Step 6: Final answer
    x = 705.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.