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Finding the Fourth Proportional to 1,356.44, 2,034.18 and 740.60

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Solution

The fourth proportional to 1,356.44, 2,034.18 and 740.60 is: 1,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.44 : 2,034.18 = 740.60 : x
  2. Step 2: Convert to fraction form
    1,356.44/2,034.18 = 740.60/x
  3. Step 3: Cross multiply
    1,356.44x = 2,034.18 × 740.60
  4. Step 4: Simplify right side
    1,356.44x = 1,506,513.71
  5. Step 5: Solve for x
    x = 1,506,513.71/1,356.44
  6. Step 6: Final answer
    x = 1,110.64

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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.