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Finding the Fourth Proportional to 435.66, 648.53 and 415.74

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Solution

The fourth proportional to 435.66, 648.53 and 415.74 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.66 : 648.53 = 415.74 : x
  2. Step 2: Convert to fraction form
    435.66/648.53 = 415.74/x
  3. Step 3: Cross multiply
    435.66x = 648.53 × 415.74
  4. Step 4: Simplify right side
    435.66x = 269,621.77
  5. Step 5: Solve for x
    x = 269,621.77/435.66
  6. Step 6: Final answer
    x = 618.89

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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.