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Finding the Fourth Proportional to 558.22, 832.58 and 472.12

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Solution

The fourth proportional to 558.22, 832.58 and 472.12 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.22 : 832.58 = 472.12 : x
  2. Step 2: Convert to fraction form
    558.22/832.58 = 472.12/x
  3. Step 3: Cross multiply
    558.22x = 832.58 × 472.12
  4. Step 4: Simplify right side
    558.22x = 393,077.67
  5. Step 5: Solve for x
    x = 393,077.67/558.22
  6. Step 6: Final answer
    x = 704.16

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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.