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Finding the Fourth Proportional to 528.08, 788.36 and 446.04

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Solution

The fourth proportional to 528.08, 788.36 and 446.04 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.08 : 788.36 = 446.04 : x
  2. Step 2: Convert to fraction form
    528.08/788.36 = 446.04/x
  3. Step 3: Cross multiply
    528.08x = 788.36 × 446.04
  4. Step 4: Simplify right side
    528.08x = 351,637.86
  5. Step 5: Solve for x
    x = 351,637.86/528.08
  6. Step 6: Final answer
    x = 665.89

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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.