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Finding the Fourth Proportional to 415.51, 621.02 and 382.67

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Solution

The fourth proportional to 415.51, 621.02 and 382.67 is: 571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.51 : 621.02 = 382.67 : x
  2. Step 2: Convert to fraction form
    415.51/621.02 = 382.67/x
  3. Step 3: Cross multiply
    415.51x = 621.02 × 382.67
  4. Step 4: Simplify right side
    415.51x = 237,647.24
  5. Step 5: Solve for x
    x = 237,647.24/415.51
  6. Step 6: Final answer
    x = 571.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.