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Finding the Fourth Proportional to 740.79, 1,109.12 and 576.09

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Solution

The fourth proportional to 740.79, 1,109.12 and 576.09 is: 862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.79 : 1,109.12 = 576.09 : x
  2. Step 2: Convert to fraction form
    740.79/1,109.12 = 576.09/x
  3. Step 3: Cross multiply
    740.79x = 1,109.12 × 576.09
  4. Step 4: Simplify right side
    740.79x = 638,950.06
  5. Step 5: Solve for x
    x = 638,950.06/740.79
  6. Step 6: Final answer
    x = 862.53

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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.