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Finding the Fourth Proportional to 634.08, 874.76 and 368.50

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Solution

The fourth proportional to 634.08, 874.76 and 368.50 is: 508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 874.76 = 368.50 : x
  2. Step 2: Convert to fraction form
    634.08/874.76 = 368.50/x
  3. Step 3: Cross multiply
    634.08x = 874.76 × 368.50
  4. Step 4: Simplify right side
    634.08x = 322,349.06
  5. Step 5: Solve for x
    x = 322,349.06/634.08
  6. Step 6: Final answer
    x = 508.37

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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.