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Finding the Fourth Proportional to 634.45, 870.88 and 562.95

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Solution

The fourth proportional to 634.45, 870.88 and 562.95 is: 772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.45 : 870.88 = 562.95 : x
  2. Step 2: Convert to fraction form
    634.45/870.88 = 562.95/x
  3. Step 3: Cross multiply
    634.45x = 870.88 × 562.95
  4. Step 4: Simplify right side
    634.45x = 490,261.90
  5. Step 5: Solve for x
    x = 490,261.90/634.45
  6. Step 6: Final answer
    x = 772.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.