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Finding the Fourth Proportional to 491.01, 739.43 and 409.52

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Solution

The fourth proportional to 491.01, 739.43 and 409.52 is: 616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.01 : 739.43 = 409.52 : x
  2. Step 2: Convert to fraction form
    491.01/739.43 = 409.52/x
  3. Step 3: Cross multiply
    491.01x = 739.43 × 409.52
  4. Step 4: Simplify right side
    491.01x = 302,805.63
  5. Step 5: Solve for x
    x = 302,805.63/491.01
  6. Step 6: Final answer
    x = 616.70

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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.