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Finding the Fourth Proportional to 436.68, 649.67 and 410.76

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Solution

The fourth proportional to 436.68, 649.67 and 410.76 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 649.67 = 410.76 : x
  2. Step 2: Convert to fraction form
    436.68/649.67 = 410.76/x
  3. Step 3: Cross multiply
    436.68x = 649.67 × 410.76
  4. Step 4: Simplify right side
    436.68x = 266,856.40
  5. Step 5: Solve for x
    x = 266,856.40/436.68
  6. Step 6: Final answer
    x = 611.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.