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Finding the Fourth Proportional to 740.23, 1,109.74 and 277.75

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Solution

The fourth proportional to 740.23, 1,109.74 and 277.75 is: 416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.23 : 1,109.74 = 277.75 : x
  2. Step 2: Convert to fraction form
    740.23/1,109.74 = 277.75/x
  3. Step 3: Cross multiply
    740.23x = 1,109.74 × 277.75
  4. Step 4: Simplify right side
    740.23x = 308,230.29
  5. Step 5: Solve for x
    x = 308,230.29/740.23
  6. Step 6: Final answer
    x = 416.40

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1.5x scale

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.