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Finding the Fourth Proportional to 822.86, 1,135.65 and 473.66

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Solution

The fourth proportional to 822.86, 1,135.65 and 473.66 is: 653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.86 : 1,135.65 = 473.66 : x
  2. Step 2: Convert to fraction form
    822.86/1,135.65 = 473.66/x
  3. Step 3: Cross multiply
    822.86x = 1,135.65 × 473.66
  4. Step 4: Simplify right side
    822.86x = 537,911.98
  5. Step 5: Solve for x
    x = 537,911.98/822.86
  6. Step 6: Final answer
    x = 653.71

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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.