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Finding the Fourth Proportional to 1,054.71, 1,581.67 and 421.29

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Solution

The fourth proportional to 1,054.71, 1,581.67 and 421.29 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.71 : 1,581.67 = 421.29 : x
  2. Step 2: Convert to fraction form
    1,054.71/1,581.67 = 421.29/x
  3. Step 3: Cross multiply
    1,054.71x = 1,581.67 × 421.29
  4. Step 4: Simplify right side
    1,054.71x = 666,344.66
  5. Step 5: Solve for x
    x = 666,344.66/1,054.71
  6. Step 6: Final answer
    x = 631.78

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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.