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Finding the Fourth Proportional to 847.34, 1,169.69 and 515.89

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Solution

The fourth proportional to 847.34, 1,169.69 and 515.89 is: 712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.34 : 1,169.69 = 515.89 : x
  2. Step 2: Convert to fraction form
    847.34/1,169.69 = 515.89/x
  3. Step 3: Cross multiply
    847.34x = 1,169.69 × 515.89
  4. Step 4: Simplify right side
    847.34x = 603,426.58
  5. Step 5: Solve for x
    x = 603,426.58/847.34
  6. Step 6: Final answer
    x = 712.14

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1.5x scale

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.