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Finding the Fourth Proportional to 634.07, 875 and 368.50

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Solution

The fourth proportional to 634.07, 875 and 368.50 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.07 : 875 = 368.50 : x
  2. Step 2: Convert to fraction form
    634.07/875 = 368.50/x
  3. Step 3: Cross multiply
    634.07x = 875 × 368.50
  4. Step 4: Simplify right side
    634.07x = 322,437.50
  5. Step 5: Solve for x
    x = 322,437.50/634.07
  6. Step 6: Final answer
    x = 508.52

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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.