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Finding the Fourth Proportional to 600.64, 828 and 403.72

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Solution

The fourth proportional to 600.64, 828 and 403.72 is: 556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.64 : 828 = 403.72 : x
  2. Step 2: Convert to fraction form
    600.64/828 = 403.72/x
  3. Step 3: Cross multiply
    600.64x = 828 × 403.72
  4. Step 4: Simplify right side
    600.64x = 334,280.16
  5. Step 5: Solve for x
    x = 334,280.16/600.64
  6. Step 6: Final answer
    x = 556.54

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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.