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Finding the Fourth Proportional to 436.40, 649.52 and 435.05

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Solution

The fourth proportional to 436.40, 649.52 and 435.05 is: 647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.40 : 649.52 = 435.05 : x
  2. Step 2: Convert to fraction form
    436.40/649.52 = 435.05/x
  3. Step 3: Cross multiply
    436.40x = 649.52 × 435.05
  4. Step 4: Simplify right side
    436.40x = 282,571.50
  5. Step 5: Solve for x
    x = 282,571.50/436.40
  6. Step 6: Final answer
    x = 647.51

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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.