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Finding the Fourth Proportional to 847.57, 1,169.64 and 493.70

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Solution

The fourth proportional to 847.57, 1,169.64 and 493.70 is: 681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.57 : 1,169.64 = 493.70 : x
  2. Step 2: Convert to fraction form
    847.57/1,169.64 = 493.70/x
  3. Step 3: Cross multiply
    847.57x = 1,169.64 × 493.70
  4. Step 4: Simplify right side
    847.57x = 577,451.27
  5. Step 5: Solve for x
    x = 577,451.27/847.57
  6. Step 6: Final answer
    x = 681.30

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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.