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Finding the Fourth Proportional to 559.04, 837.86 and 315.74

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Solution

The fourth proportional to 559.04, 837.86 and 315.74 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.04 : 837.86 = 315.74 : x
  2. Step 2: Convert to fraction form
    559.04/837.86 = 315.74/x
  3. Step 3: Cross multiply
    559.04x = 837.86 × 315.74
  4. Step 4: Simplify right side
    559.04x = 264,545.92
  5. Step 5: Solve for x
    x = 264,545.92/559.04
  6. Step 6: Final answer
    x = 473.21

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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.