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Finding the Fourth Proportional to 618.84, 926.10 and 471.96

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Solution

The fourth proportional to 618.84, 926.10 and 471.96 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.84 : 926.10 = 471.96 : x
  2. Step 2: Convert to fraction form
    618.84/926.10 = 471.96/x
  3. Step 3: Cross multiply
    618.84x = 926.10 × 471.96
  4. Step 4: Simplify right side
    618.84x = 437,082.16
  5. Step 5: Solve for x
    x = 437,082.16/618.84
  6. Step 6: Final answer
    x = 706.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.