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Finding the Fourth Proportional to 822.63, 1,135.17 and 473.25

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Solution

The fourth proportional to 822.63, 1,135.17 and 473.25 is: 653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.63 : 1,135.17 = 473.25 : x
  2. Step 2: Convert to fraction form
    822.63/1,135.17 = 473.25/x
  3. Step 3: Cross multiply
    822.63x = 1,135.17 × 473.25
  4. Step 4: Simplify right side
    822.63x = 537,219.20
  5. Step 5: Solve for x
    x = 537,219.20/822.63
  6. Step 6: Final answer
    x = 653.05

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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.