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Finding the Fourth Proportional to 906.40, 1,357.80 and 494.80

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Solution

The fourth proportional to 906.40, 1,357.80 and 494.80 is: 741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.40 : 1,357.80 = 494.80 : x
  2. Step 2: Convert to fraction form
    906.40/1,357.80 = 494.80/x
  3. Step 3: Cross multiply
    906.40x = 1,357.80 × 494.80
  4. Step 4: Simplify right side
    906.40x = 671,839.44
  5. Step 5: Solve for x
    x = 671,839.44/906.40
  6. Step 6: Final answer
    x = 741.22

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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.