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Finding the Fourth Proportional to 820.51, 1,132.30 and 447.48

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Solution

The fourth proportional to 820.51, 1,132.30 and 447.48 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.51 : 1,132.30 = 447.48 : x
  2. Step 2: Convert to fraction form
    820.51/1,132.30 = 447.48/x
  3. Step 3: Cross multiply
    820.51x = 1,132.30 × 447.48
  4. Step 4: Simplify right side
    820.51x = 506,682.16
  5. Step 5: Solve for x
    x = 506,682.16/820.51
  6. Step 6: Final answer
    x = 617.52

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