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Finding the Fourth Proportional to 443.07, 660.08 and 415.13

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Solution

The fourth proportional to 443.07, 660.08 and 415.13 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 660.08 = 415.13 : x
  2. Step 2: Convert to fraction form
    443.07/660.08 = 415.13/x
  3. Step 3: Cross multiply
    443.07x = 660.08 × 415.13
  4. Step 4: Simplify right side
    443.07x = 274,016.75
  5. Step 5: Solve for x
    x = 274,016.75/443.07
  6. Step 6: Final answer
    x = 618.45

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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.