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Finding the Fourth Proportional to 653.83, 981.12 and 263.91

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Solution

The fourth proportional to 653.83, 981.12 and 263.91 is: 396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.83 : 981.12 = 263.91 : x
  2. Step 2: Convert to fraction form
    653.83/981.12 = 263.91/x
  3. Step 3: Cross multiply
    653.83x = 981.12 × 263.91
  4. Step 4: Simplify right side
    653.83x = 258,927.38
  5. Step 5: Solve for x
    x = 258,927.38/653.83
  6. Step 6: Final answer
    x = 396.02

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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.