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Finding the Fourth Proportional to 822.71, 1,135.28 and 473.51

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Solution

The fourth proportional to 822.71, 1,135.28 and 473.51 is: 653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.71 : 1,135.28 = 473.51 : x
  2. Step 2: Convert to fraction form
    822.71/1,135.28 = 473.51/x
  3. Step 3: Cross multiply
    822.71x = 1,135.28 × 473.51
  4. Step 4: Simplify right side
    822.71x = 537,561.94
  5. Step 5: Solve for x
    x = 537,561.94/822.71
  6. Step 6: Final answer
    x = 653.41

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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.