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Finding the Fourth Proportional to 655.67, 903.98 and 537.21

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Solution

The fourth proportional to 655.67, 903.98 and 537.21 is: 740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.67 : 903.98 = 537.21 : x
  2. Step 2: Convert to fraction form
    655.67/903.98 = 537.21/x
  3. Step 3: Cross multiply
    655.67x = 903.98 × 537.21
  4. Step 4: Simplify right side
    655.67x = 485,627.10
  5. Step 5: Solve for x
    x = 485,627.10/655.67
  6. Step 6: Final answer
    x = 740.66

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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.