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Finding the Fourth Proportional to 559.11, 837.91 and 462.23

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Solution

The fourth proportional to 559.11, 837.91 and 462.23 is: 692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.11 : 837.91 = 462.23 : x
  2. Step 2: Convert to fraction form
    559.11/837.91 = 462.23/x
  3. Step 3: Cross multiply
    559.11x = 837.91 × 462.23
  4. Step 4: Simplify right side
    559.11x = 387,307.14
  5. Step 5: Solve for x
    x = 387,307.14/559.11
  6. Step 6: Final answer
    x = 692.72

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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.