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Finding the Fourth Proportional to 847.70, 1,169.15 and 515.86

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Solution

The fourth proportional to 847.70, 1,169.15 and 515.86 is: 711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.70 : 1,169.15 = 515.86 : x
  2. Step 2: Convert to fraction form
    847.70/1,169.15 = 515.86/x
  3. Step 3: Cross multiply
    847.70x = 1,169.15 × 515.86
  4. Step 4: Simplify right side
    847.70x = 603,117.72
  5. Step 5: Solve for x
    x = 603,117.72/847.70
  6. Step 6: Final answer
    x = 711.48

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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.