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Finding the Fourth Proportional to 1,349.04, 1,861.68 and 817.74

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Solution

The fourth proportional to 1,349.04, 1,861.68 and 817.74 is: 1,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.04 : 1,861.68 = 817.74 : x
  2. Step 2: Convert to fraction form
    1,349.04/1,861.68 = 817.74/x
  3. Step 3: Cross multiply
    1,349.04x = 1,861.68 × 817.74
  4. Step 4: Simplify right side
    1,349.04x = 1,522,370.20
  5. Step 5: Solve for x
    x = 1,522,370.20/1,349.04
  6. Step 6: Final answer
    x = 1,128.48

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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.