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Finding the Fourth Proportional to 821.75, 1,134.02 and 472.51

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Solution

The fourth proportional to 821.75, 1,134.02 and 472.51 is: 652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.75 : 1,134.02 = 472.51 : x
  2. Step 2: Convert to fraction form
    821.75/1,134.02 = 472.51/x
  3. Step 3: Cross multiply
    821.75x = 1,134.02 × 472.51
  4. Step 4: Simplify right side
    821.75x = 535,827.76
  5. Step 5: Solve for x
    x = 535,827.76/821.75
  6. Step 6: Final answer
    x = 652.06

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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.