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Finding the Fourth Proportional to 740.32, 1,109.76 and 393.76

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Solution

The fourth proportional to 740.32, 1,109.76 and 393.76 is: 590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.32 : 1,109.76 = 393.76 : x
  2. Step 2: Convert to fraction form
    740.32/1,109.76 = 393.76/x
  3. Step 3: Cross multiply
    740.32x = 1,109.76 × 393.76
  4. Step 4: Simplify right side
    740.32x = 436,979.10
  5. Step 5: Solve for x
    x = 436,979.10/740.32
  6. Step 6: Final answer
    x = 590.26

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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.