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Finding the Fourth Proportional to 558.07, 842.10 and 535.59

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Solution

The fourth proportional to 558.07, 842.10 and 535.59 is: 808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.07 : 842.10 = 535.59 : x
  2. Step 2: Convert to fraction form
    558.07/842.10 = 535.59/x
  3. Step 3: Cross multiply
    558.07x = 842.10 × 535.59
  4. Step 4: Simplify right side
    558.07x = 451,023.78
  5. Step 5: Solve for x
    x = 451,023.78/558.07
  6. Step 6: Final answer
    x = 808.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.