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Finding the Fourth Proportional to 556.08, 832.91 and 440.66

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Solution

The fourth proportional to 556.08, 832.91 and 440.66 is: 660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 832.91 = 440.66 : x
  2. Step 2: Convert to fraction form
    556.08/832.91 = 440.66/x
  3. Step 3: Cross multiply
    556.08x = 832.91 × 440.66
  4. Step 4: Simplify right side
    556.08x = 367,023.75
  5. Step 5: Solve for x
    x = 367,023.75/556.08
  6. Step 6: Final answer
    x = 660.02

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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.