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Finding the Fourth Proportional to 905.40, 1,357.20 and 494.13

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Solution

The fourth proportional to 905.40, 1,357.20 and 494.13 is: 740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.40 : 1,357.20 = 494.13 : x
  2. Step 2: Convert to fraction form
    905.40/1,357.20 = 494.13/x
  3. Step 3: Cross multiply
    905.40x = 1,357.20 × 494.13
  4. Step 4: Simplify right side
    905.40x = 670,633.24
  5. Step 5: Solve for x
    x = 670,633.24/905.40
  6. Step 6: Final answer
    x = 740.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.