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Finding the Fourth Proportional to 821.08, 1,133.04 and 471.76

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Solution

The fourth proportional to 821.08, 1,133.04 and 471.76 is: 651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.08 : 1,133.04 = 471.76 : x
  2. Step 2: Convert to fraction form
    821.08/1,133.04 = 471.76/x
  3. Step 3: Cross multiply
    821.08x = 1,133.04 × 471.76
  4. Step 4: Simplify right side
    821.08x = 534,522.95
  5. Step 5: Solve for x
    x = 534,522.95/821.08
  6. Step 6: Final answer
    x = 651.00

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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.