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Finding the Fourth Proportional to 1,120.66, 1,681.02 and 380.26

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Solution

The fourth proportional to 1,120.66, 1,681.02 and 380.26 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.66 : 1,681.02 = 380.26 : x
  2. Step 2: Convert to fraction form
    1,120.66/1,681.02 = 380.26/x
  3. Step 3: Cross multiply
    1,120.66x = 1,681.02 × 380.26
  4. Step 4: Simplify right side
    1,120.66x = 639,224.67
  5. Step 5: Solve for x
    x = 639,224.67/1,120.66
  6. Step 6: Final answer
    x = 570.40

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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.