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Finding the Fourth Proportional to 653.91, 981.02 and 448.58

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Solution

The fourth proportional to 653.91, 981.02 and 448.58 is: 672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 981.02 = 448.58 : x
  2. Step 2: Convert to fraction form
    653.91/981.02 = 448.58/x
  3. Step 3: Cross multiply
    653.91x = 981.02 × 448.58
  4. Step 4: Simplify right side
    653.91x = 440,065.95
  5. Step 5: Solve for x
    x = 440,065.95/653.91
  6. Step 6: Final answer
    x = 672.98

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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.