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Finding the Fourth Proportional to 623.70, 935.76 and 461.70

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Solution

The fourth proportional to 623.70, 935.76 and 461.70 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 935.76 = 461.70 : x
  2. Step 2: Convert to fraction form
    623.70/935.76 = 461.70/x
  3. Step 3: Cross multiply
    623.70x = 935.76 × 461.70
  4. Step 4: Simplify right side
    623.70x = 432,040.39
  5. Step 5: Solve for x
    x = 432,040.39/623.70
  6. Step 6: Final answer
    x = 692.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.