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Finding the Fourth Proportional to 607.34, 909.13 and 490.82

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Solution

The fourth proportional to 607.34, 909.13 and 490.82 is: 734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.34 : 909.13 = 490.82 : x
  2. Step 2: Convert to fraction form
    607.34/909.13 = 490.82/x
  3. Step 3: Cross multiply
    607.34x = 909.13 × 490.82
  4. Step 4: Simplify right side
    607.34x = 446,214.33
  5. Step 5: Solve for x
    x = 446,214.33/607.34
  6. Step 6: Final answer
    x = 734.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.