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Finding the Fourth Proportional to 859.25, 1,288.82 and 598.49

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Solution

The fourth proportional to 859.25, 1,288.82 and 598.49 is: 897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.25 : 1,288.82 = 598.49 : x
  2. Step 2: Convert to fraction form
    859.25/1,288.82 = 598.49/x
  3. Step 3: Cross multiply
    859.25x = 1,288.82 × 598.49
  4. Step 4: Simplify right side
    859.25x = 771,336.45
  5. Step 5: Solve for x
    x = 771,336.45/859.25
  6. Step 6: Final answer
    x = 897.69

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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.