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Finding the Fourth Proportional to 436.02, 649.46 and 435.18

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Solution

The fourth proportional to 436.02, 649.46 and 435.18 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.02 : 649.46 = 435.18 : x
  2. Step 2: Convert to fraction form
    436.02/649.46 = 435.18/x
  3. Step 3: Cross multiply
    436.02x = 649.46 × 435.18
  4. Step 4: Simplify right side
    436.02x = 282,629.83
  5. Step 5: Solve for x
    x = 282,629.83/436.02
  6. Step 6: Final answer
    x = 648.20

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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.