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Finding the Fourth Proportional to 856.55, 1,284.84 and 423.60

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Solution

The fourth proportional to 856.55, 1,284.84 and 423.60 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.55 : 1,284.84 = 423.60 : x
  2. Step 2: Convert to fraction form
    856.55/1,284.84 = 423.60/x
  3. Step 3: Cross multiply
    856.55x = 1,284.84 × 423.60
  4. Step 4: Simplify right side
    856.55x = 544,258.22
  5. Step 5: Solve for x
    x = 544,258.22/856.55
  6. Step 6: Final answer
    x = 635.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.