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Finding the Fourth Proportional to 1,066.41, 1,599.63 and 417.21

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Solution

The fourth proportional to 1,066.41, 1,599.63 and 417.21 is: 625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.41 : 1,599.63 = 417.21 : x
  2. Step 2: Convert to fraction form
    1,066.41/1,599.63 = 417.21/x
  3. Step 3: Cross multiply
    1,066.41x = 1,599.63 × 417.21
  4. Step 4: Simplify right side
    1,066.41x = 667,381.63
  5. Step 5: Solve for x
    x = 667,381.63/1,066.41
  6. Step 6: Final answer
    x = 625.82

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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.