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Finding the Fourth Proportional to 653.82, 903.50 and 467.93

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Solution

The fourth proportional to 653.82, 903.50 and 467.93 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 903.50 = 467.93 : x
  2. Step 2: Convert to fraction form
    653.82/903.50 = 467.93/x
  3. Step 3: Cross multiply
    653.82x = 903.50 × 467.93
  4. Step 4: Simplify right side
    653.82x = 422,773.98
  5. Step 5: Solve for x
    x = 422,773.98/653.82
  6. Step 6: Final answer
    x = 646.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.