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Finding the Fourth Proportional to 756.79, 1,133.64 and 447.71

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Solution

The fourth proportional to 756.79, 1,133.64 and 447.71 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.79 : 1,133.64 = 447.71 : x
  2. Step 2: Convert to fraction form
    756.79/1,133.64 = 447.71/x
  3. Step 3: Cross multiply
    756.79x = 1,133.64 × 447.71
  4. Step 4: Simplify right side
    756.79x = 507,541.96
  5. Step 5: Solve for x
    x = 507,541.96/756.79
  6. Step 6: Final answer
    x = 670.65

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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.