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Finding the Fourth Proportional to 859.50, 1,290.24 and 513.09

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Solution

The fourth proportional to 859.50, 1,290.24 and 513.09 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.50 : 1,290.24 = 513.09 : x
  2. Step 2: Convert to fraction form
    859.50/1,290.24 = 513.09/x
  3. Step 3: Cross multiply
    859.50x = 1,290.24 × 513.09
  4. Step 4: Simplify right side
    859.50x = 662,009.24
  5. Step 5: Solve for x
    x = 662,009.24/859.50
  6. Step 6: Final answer
    x = 770.23

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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.