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Finding the Fourth Proportional to 553.79, 830.61 and 463.07

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Solution

The fourth proportional to 553.79, 830.61 and 463.07 is: 694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.79 : 830.61 = 463.07 : x
  2. Step 2: Convert to fraction form
    553.79/830.61 = 463.07/x
  3. Step 3: Cross multiply
    553.79x = 830.61 × 463.07
  4. Step 4: Simplify right side
    553.79x = 384,626.42
  5. Step 5: Solve for x
    x = 384,626.42/553.79
  6. Step 6: Final answer
    x = 694.54

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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.