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Finding the Fourth Proportional to 864.75, 1,297.34 and 287.63

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Solution

The fourth proportional to 864.75, 1,297.34 and 287.63 is: 431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.75 : 1,297.34 = 287.63 : x
  2. Step 2: Convert to fraction form
    864.75/1,297.34 = 287.63/x
  3. Step 3: Cross multiply
    864.75x = 1,297.34 × 287.63
  4. Step 4: Simplify right side
    864.75x = 373,145.98
  5. Step 5: Solve for x
    x = 373,145.98/864.75
  6. Step 6: Final answer
    x = 431.51

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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.