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Finding the Fourth Proportional to 435.09, 647.69 and 415.18

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Solution

The fourth proportional to 435.09, 647.69 and 415.18 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.09 : 647.69 = 415.18 : x
  2. Step 2: Convert to fraction form
    435.09/647.69 = 415.18/x
  3. Step 3: Cross multiply
    435.09x = 647.69 × 415.18
  4. Step 4: Simplify right side
    435.09x = 268,909.00
  5. Step 5: Solve for x
    x = 268,909.00/435.09
  6. Step 6: Final answer
    x = 618.05

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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.