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Finding the Fourth Proportional to 1,349.27, 1,862.03 and 818.25

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Solution

The fourth proportional to 1,349.27, 1,862.03 and 818.25 is: 1,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.27 : 1,862.03 = 818.25 : x
  2. Step 2: Convert to fraction form
    1,349.27/1,862.03 = 818.25/x
  3. Step 3: Cross multiply
    1,349.27x = 1,862.03 × 818.25
  4. Step 4: Simplify right side
    1,349.27x = 1,523,606.05
  5. Step 5: Solve for x
    x = 1,523,606.05/1,349.27
  6. Step 6: Final answer
    x = 1,129.21

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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.