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Finding the Fourth Proportional to 820.79, 1,132.66 and 447.76

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Solution

The fourth proportional to 820.79, 1,132.66 and 447.76 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.79 : 1,132.66 = 447.76 : x
  2. Step 2: Convert to fraction form
    820.79/1,132.66 = 447.76/x
  3. Step 3: Cross multiply
    820.79x = 1,132.66 × 447.76
  4. Step 4: Simplify right side
    820.79x = 507,159.84
  5. Step 5: Solve for x
    x = 507,159.84/820.79
  6. Step 6: Final answer
    x = 617.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.