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Finding the Fourth Proportional to 1,357.60, 2,033.70 and 740.20

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Solution

The fourth proportional to 1,357.60, 2,033.70 and 740.20 is: 1,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.60 : 2,033.70 = 740.20 : x
  2. Step 2: Convert to fraction form
    1,357.60/2,033.70 = 740.20/x
  3. Step 3: Cross multiply
    1,357.60x = 2,033.70 × 740.20
  4. Step 4: Simplify right side
    1,357.60x = 1,505,344.74
  5. Step 5: Solve for x
    x = 1,505,344.74/1,357.60
  6. Step 6: Final answer
    x = 1,108.83

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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.