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Finding the Fourth Proportional to 1,065.41, 1,597.70 and 440.90

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Solution

The fourth proportional to 1,065.41, 1,597.70 and 440.90 is: 661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.41 : 1,597.70 = 440.90 : x
  2. Step 2: Convert to fraction form
    1,065.41/1,597.70 = 440.90/x
  3. Step 3: Cross multiply
    1,065.41x = 1,597.70 × 440.90
  4. Step 4: Simplify right side
    1,065.41x = 704,419.04
  5. Step 5: Solve for x
    x = 704,419.04/1,065.41
  6. Step 6: Final answer
    x = 661.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.