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Finding the Fourth Proportional to 836.89, 1,255.49 and 259.63

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Solution

The fourth proportional to 836.89, 1,255.49 and 259.63 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.89 : 1,255.49 = 259.63 : x
  2. Step 2: Convert to fraction form
    836.89/1,255.49 = 259.63/x
  3. Step 3: Cross multiply
    836.89x = 1,255.49 × 259.63
  4. Step 4: Simplify right side
    836.89x = 325,955.29
  5. Step 5: Solve for x
    x = 325,955.29/836.89
  6. Step 6: Final answer
    x = 389.49

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Half scale
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Double scale
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1.5x scale

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.