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Finding the Fourth Proportional to 630.09, 868.94 and 505.75

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Solution

The fourth proportional to 630.09, 868.94 and 505.75 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.09 : 868.94 = 505.75 : x
  2. Step 2: Convert to fraction form
    630.09/868.94 = 505.75/x
  3. Step 3: Cross multiply
    630.09x = 868.94 × 505.75
  4. Step 4: Simplify right side
    630.09x = 439,466.41
  5. Step 5: Solve for x
    x = 439,466.41/630.09
  6. Step 6: Final answer
    x = 697.47

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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.