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Finding the Fourth Proportional to 655.68, 905.28 and 623.36

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Solution

The fourth proportional to 655.68, 905.28 and 623.36 is: 860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.68 : 905.28 = 623.36 : x
  2. Step 2: Convert to fraction form
    655.68/905.28 = 623.36/x
  3. Step 3: Cross multiply
    655.68x = 905.28 × 623.36
  4. Step 4: Simplify right side
    655.68x = 564,315.34
  5. Step 5: Solve for x
    x = 564,315.34/655.68
  6. Step 6: Final answer
    x = 860.66

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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.