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Finding the Fourth Proportional to 559, 837.69 and 315.19

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Solution

The fourth proportional to 559, 837.69 and 315.19 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559 : 837.69 = 315.19 : x
  2. Step 2: Convert to fraction form
    559/837.69 = 315.19/x
  3. Step 3: Cross multiply
    559x = 837.69 × 315.19
  4. Step 4: Simplify right side
    559x = 264,031.51
  5. Step 5: Solve for x
    x = 264,031.51/559
  6. Step 6: Final answer
    x = 472.33

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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.