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Finding the Fourth Proportional to 934.96, 1,403.26 and 719.88

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Solution

The fourth proportional to 934.96, 1,403.26 and 719.88 is: 1,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.96 : 1,403.26 = 719.88 : x
  2. Step 2: Convert to fraction form
    934.96/1,403.26 = 719.88/x
  3. Step 3: Cross multiply
    934.96x = 1,403.26 × 719.88
  4. Step 4: Simplify right side
    934.96x = 1,010,178.81
  5. Step 5: Solve for x
    x = 1,010,178.81/934.96
  6. Step 6: Final answer
    x = 1,080.45

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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.