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Finding the Fourth Proportional to 610.38, 919.26 and 474.30

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Solution

The fourth proportional to 610.38, 919.26 and 474.30 is: 714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 919.26 = 474.30 : x
  2. Step 2: Convert to fraction form
    610.38/919.26 = 474.30/x
  3. Step 3: Cross multiply
    610.38x = 919.26 × 474.30
  4. Step 4: Simplify right side
    610.38x = 436,005.02
  5. Step 5: Solve for x
    x = 436,005.02/610.38
  6. Step 6: Final answer
    x = 714.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.