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Finding the Fourth Proportional to 861.35, 1,188.62 and 468.38

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Solution

The fourth proportional to 861.35, 1,188.62 and 468.38 is: 646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.35 : 1,188.62 = 468.38 : x
  2. Step 2: Convert to fraction form
    861.35/1,188.62 = 468.38/x
  3. Step 3: Cross multiply
    861.35x = 1,188.62 × 468.38
  4. Step 4: Simplify right side
    861.35x = 556,717.55
  5. Step 5: Solve for x
    x = 556,717.55/861.35
  6. Step 6: Final answer
    x = 646.33

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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.