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Finding the Fourth Proportional to 655.45, 905.04 and 507.83

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Solution

The fourth proportional to 655.45, 905.04 and 507.83 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.45 : 905.04 = 507.83 : x
  2. Step 2: Convert to fraction form
    655.45/905.04 = 507.83/x
  3. Step 3: Cross multiply
    655.45x = 905.04 × 507.83
  4. Step 4: Simplify right side
    655.45x = 459,601.94
  5. Step 5: Solve for x
    x = 459,601.94/655.45
  6. Step 6: Final answer
    x = 701.20

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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.