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Finding the Fourth Proportional to 655.87, 903.57 and 489.77

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Solution

The fourth proportional to 655.87, 903.57 and 489.77 is: 674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.87 : 903.57 = 489.77 : x
  2. Step 2: Convert to fraction form
    655.87/903.57 = 489.77/x
  3. Step 3: Cross multiply
    655.87x = 903.57 × 489.77
  4. Step 4: Simplify right side
    655.87x = 442,541.48
  5. Step 5: Solve for x
    x = 442,541.48/655.87
  6. Step 6: Final answer
    x = 674.74

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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.