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Finding the Fourth Proportional to 433.74, 645.95 and 415.02

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Solution

The fourth proportional to 433.74, 645.95 and 415.02 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.74 : 645.95 = 415.02 : x
  2. Step 2: Convert to fraction form
    433.74/645.95 = 415.02/x
  3. Step 3: Cross multiply
    433.74x = 645.95 × 415.02
  4. Step 4: Simplify right side
    433.74x = 268,080.09
  5. Step 5: Solve for x
    x = 268,080.09/433.74
  6. Step 6: Final answer
    x = 618.07

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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.