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Finding the Fourth Proportional to 864.70, 1,297.14 and 287.58

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Solution

The fourth proportional to 864.70, 1,297.14 and 287.58 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.70 : 1,297.14 = 287.58 : x
  2. Step 2: Convert to fraction form
    864.70/1,297.14 = 287.58/x
  3. Step 3: Cross multiply
    864.70x = 1,297.14 × 287.58
  4. Step 4: Simplify right side
    864.70x = 373,031.52
  5. Step 5: Solve for x
    x = 373,031.52/864.70
  6. Step 6: Final answer
    x = 431.40

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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.