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Finding the Fourth Proportional to 653.87, 900.92 and 487.82

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Solution

The fourth proportional to 653.87, 900.92 and 487.82 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 900.92 = 487.82 : x
  2. Step 2: Convert to fraction form
    653.87/900.92 = 487.82/x
  3. Step 3: Cross multiply
    653.87x = 900.92 × 487.82
  4. Step 4: Simplify right side
    653.87x = 439,490.27
  5. Step 5: Solve for x
    x = 439,490.27/653.87
  6. Step 6: Final answer
    x = 672.13

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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.