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Finding the Fourth Proportional to 864.88, 1,297.14 and 513.62

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Solution

The fourth proportional to 864.88, 1,297.14 and 513.62 is: 770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.88 : 1,297.14 = 513.62 : x
  2. Step 2: Convert to fraction form
    864.88/1,297.14 = 513.62/x
  3. Step 3: Cross multiply
    864.88x = 1,297.14 × 513.62
  4. Step 4: Simplify right side
    864.88x = 666,237.05
  5. Step 5: Solve for x
    x = 666,237.05/864.88
  6. Step 6: Final answer
    x = 770.32

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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.