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Finding the Fourth Proportional to 874.96, 1,206.80 and 594.70

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Solution

The fourth proportional to 874.96, 1,206.80 and 594.70 is: 820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.96 : 1,206.80 = 594.70 : x
  2. Step 2: Convert to fraction form
    874.96/1,206.80 = 594.70/x
  3. Step 3: Cross multiply
    874.96x = 1,206.80 × 594.70
  4. Step 4: Simplify right side
    874.96x = 717,683.96
  5. Step 5: Solve for x
    x = 717,683.96/874.96
  6. Step 6: Final answer
    x = 820.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.