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Finding the Fourth Proportional to 559.74, 837.15 and 498.47

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Solution

The fourth proportional to 559.74, 837.15 and 498.47 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 837.15 = 498.47 : x
  2. Step 2: Convert to fraction form
    559.74/837.15 = 498.47/x
  3. Step 3: Cross multiply
    559.74x = 837.15 × 498.47
  4. Step 4: Simplify right side
    559.74x = 417,298.44
  5. Step 5: Solve for x
    x = 417,298.44/559.74
  6. Step 6: Final answer
    x = 745.52

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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.