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Finding the Fourth Proportional to 662.94, 915.15 and 505.61

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Solution

The fourth proportional to 662.94, 915.15 and 505.61 is: 697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.94 : 915.15 = 505.61 : x
  2. Step 2: Convert to fraction form
    662.94/915.15 = 505.61/x
  3. Step 3: Cross multiply
    662.94x = 915.15 × 505.61
  4. Step 4: Simplify right side
    662.94x = 462,708.99
  5. Step 5: Solve for x
    x = 462,708.99/662.94
  6. Step 6: Final answer
    x = 697.97

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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.