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Finding the Fourth Proportional to 619.48, 927.78 and 402.40

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Solution

The fourth proportional to 619.48, 927.78 and 402.40 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.48 : 927.78 = 402.40 : x
  2. Step 2: Convert to fraction form
    619.48/927.78 = 402.40/x
  3. Step 3: Cross multiply
    619.48x = 927.78 × 402.40
  4. Step 4: Simplify right side
    619.48x = 373,338.67
  5. Step 5: Solve for x
    x = 373,338.67/619.48
  6. Step 6: Final answer
    x = 602.66

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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.