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Finding the Fourth Proportional to 1,073.51, 1,609.85 and 380.05

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Solution

The fourth proportional to 1,073.51, 1,609.85 and 380.05 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.51 : 1,609.85 = 380.05 : x
  2. Step 2: Convert to fraction form
    1,073.51/1,609.85 = 380.05/x
  3. Step 3: Cross multiply
    1,073.51x = 1,609.85 × 380.05
  4. Step 4: Simplify right side
    1,073.51x = 611,823.49
  5. Step 5: Solve for x
    x = 611,823.49/1,073.51
  6. Step 6: Final answer
    x = 569.93

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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.