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Finding the Fourth Proportional to 558.42, 836.19 and 466.89

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Solution

The fourth proportional to 558.42, 836.19 and 466.89 is: 699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 836.19 = 466.89 : x
  2. Step 2: Convert to fraction form
    558.42/836.19 = 466.89/x
  3. Step 3: Cross multiply
    558.42x = 836.19 × 466.89
  4. Step 4: Simplify right side
    558.42x = 390,408.75
  5. Step 5: Solve for x
    x = 390,408.75/558.42
  6. Step 6: Final answer
    x = 699.13

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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.