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Finding the Fourth Proportional to 655.84, 905.76 and 508.48

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Solution

The fourth proportional to 655.84, 905.76 and 508.48 is: 702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 905.76 = 508.48 : x
  2. Step 2: Convert to fraction form
    655.84/905.76 = 508.48/x
  3. Step 3: Cross multiply
    655.84x = 905.76 × 508.48
  4. Step 4: Simplify right side
    655.84x = 460,560.84
  5. Step 5: Solve for x
    x = 460,560.84/655.84
  6. Step 6: Final answer
    x = 702.25

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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.