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Finding the Fourth Proportional to 618.10, 922.09 and 585.70

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Solution

The fourth proportional to 618.10, 922.09 and 585.70 is: 873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.10 : 922.09 = 585.70 : x
  2. Step 2: Convert to fraction form
    618.10/922.09 = 585.70/x
  3. Step 3: Cross multiply
    618.10x = 922.09 × 585.70
  4. Step 4: Simplify right side
    618.10x = 540,068.11
  5. Step 5: Solve for x
    x = 540,068.11/618.10
  6. Step 6: Final answer
    x = 873.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.