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Finding the Fourth Proportional to 559.21, 835.05 and 456.70

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Solution

The fourth proportional to 559.21, 835.05 and 456.70 is: 681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.21 : 835.05 = 456.70 : x
  2. Step 2: Convert to fraction form
    559.21/835.05 = 456.70/x
  3. Step 3: Cross multiply
    559.21x = 835.05 × 456.70
  4. Step 4: Simplify right side
    559.21x = 381,366.10
  5. Step 5: Solve for x
    x = 381,366.10/559.21
  6. Step 6: Final answer
    x = 681.97

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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.