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Finding the Fourth Proportional to 822.66, 1,135.27 and 473.55

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Solution

The fourth proportional to 822.66, 1,135.27 and 473.55 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.66 : 1,135.27 = 473.55 : x
  2. Step 2: Convert to fraction form
    822.66/1,135.27 = 473.55/x
  3. Step 3: Cross multiply
    822.66x = 1,135.27 × 473.55
  4. Step 4: Simplify right side
    822.66x = 537,600.78
  5. Step 5: Solve for x
    x = 537,600.78/822.66
  6. Step 6: Final answer
    x = 653.49

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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.