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Finding the Fourth Proportional to 740.34, 1,109.79 and 306.90

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Solution

The fourth proportional to 740.34, 1,109.79 and 306.90 is: 460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.34 : 1,109.79 = 306.90 : x
  2. Step 2: Convert to fraction form
    740.34/1,109.79 = 306.90/x
  3. Step 3: Cross multiply
    740.34x = 1,109.79 × 306.90
  4. Step 4: Simplify right side
    740.34x = 340,594.55
  5. Step 5: Solve for x
    x = 340,594.55/740.34
  6. Step 6: Final answer
    x = 460.05

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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.