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Finding the Fourth Proportional to 909.17, 1,362.74 and 562.76

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Solution

The fourth proportional to 909.17, 1,362.74 and 562.76 is: 843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.17 : 1,362.74 = 562.76 : x
  2. Step 2: Convert to fraction form
    909.17/1,362.74 = 562.76/x
  3. Step 3: Cross multiply
    909.17x = 1,362.74 × 562.76
  4. Step 4: Simplify right side
    909.17x = 766,895.56
  5. Step 5: Solve for x
    x = 766,895.56/909.17
  6. Step 6: Final answer
    x = 843.51

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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.