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Finding the Fourth Proportional to 623.92, 931.04 and 559.12

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Solution

The fourth proportional to 623.92, 931.04 and 559.12 is: 834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.92 : 931.04 = 559.12 : x
  2. Step 2: Convert to fraction form
    623.92/931.04 = 559.12/x
  3. Step 3: Cross multiply
    623.92x = 931.04 × 559.12
  4. Step 4: Simplify right side
    623.92x = 520,563.08
  5. Step 5: Solve for x
    x = 520,563.08/623.92
  6. Step 6: Final answer
    x = 834.34

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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.