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Finding the Fourth Proportional to 558.69, 837.51 and 512.55

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Solution

The fourth proportional to 558.69, 837.51 and 512.55 is: 768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.69 : 837.51 = 512.55 : x
  2. Step 2: Convert to fraction form
    558.69/837.51 = 512.55/x
  3. Step 3: Cross multiply
    558.69x = 837.51 × 512.55
  4. Step 4: Simplify right side
    558.69x = 429,265.75
  5. Step 5: Solve for x
    x = 429,265.75/558.69
  6. Step 6: Final answer
    x = 768.34

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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.