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Finding the Fourth Proportional to 558.54, 832.32 and 522.09

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Solution

The fourth proportional to 558.54, 832.32 and 522.09 is: 778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.54 : 832.32 = 522.09 : x
  2. Step 2: Convert to fraction form
    558.54/832.32 = 522.09/x
  3. Step 3: Cross multiply
    558.54x = 832.32 × 522.09
  4. Step 4: Simplify right side
    558.54x = 434,545.95
  5. Step 5: Solve for x
    x = 434,545.95/558.54
  6. Step 6: Final answer
    x = 778.00

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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.