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Finding the Fourth Proportional to 634.78, 875.69 and 399.02

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Solution

The fourth proportional to 634.78, 875.69 and 399.02 is: 550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.78 : 875.69 = 399.02 : x
  2. Step 2: Convert to fraction form
    634.78/875.69 = 399.02/x
  3. Step 3: Cross multiply
    634.78x = 875.69 × 399.02
  4. Step 4: Simplify right side
    634.78x = 349,417.82
  5. Step 5: Solve for x
    x = 349,417.82/634.78
  6. Step 6: Final answer
    x = 550.45

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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.