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Finding the Fourth Proportional to 634.66, 875.88 and 469.42

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Solution

The fourth proportional to 634.66, 875.88 and 469.42 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.66 : 875.88 = 469.42 : x
  2. Step 2: Convert to fraction form
    634.66/875.88 = 469.42/x
  3. Step 3: Cross multiply
    634.66x = 875.88 × 469.42
  4. Step 4: Simplify right side
    634.66x = 411,153.40
  5. Step 5: Solve for x
    x = 411,153.40/634.66
  6. Step 6: Final answer
    x = 647.84

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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.