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Finding the Fourth Proportional to 909.46, 1,363.51 and 649.30

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Solution

The fourth proportional to 909.46, 1,363.51 and 649.30 is: 973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.46 : 1,363.51 = 649.30 : x
  2. Step 2: Convert to fraction form
    909.46/1,363.51 = 649.30/x
  3. Step 3: Cross multiply
    909.46x = 1,363.51 × 649.30
  4. Step 4: Simplify right side
    909.46x = 885,323.80
  5. Step 5: Solve for x
    x = 885,323.80/909.46
  6. Step 6: Final answer
    x = 973.47

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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.