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Finding the Fourth Proportional to 864.83, 1,297.50 and 402.88

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Solution

The fourth proportional to 864.83, 1,297.50 and 402.88 is: 604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.83 : 1,297.50 = 402.88 : x
  2. Step 2: Convert to fraction form
    864.83/1,297.50 = 402.88/x
  3. Step 3: Cross multiply
    864.83x = 1,297.50 × 402.88
  4. Step 4: Simplify right side
    864.83x = 522,736.81
  5. Step 5: Solve for x
    x = 522,736.81/864.83
  6. Step 6: Final answer
    x = 604.44

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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.