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Finding the Fourth Proportional to 1,116.93, 1,675.80 and 386.71

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Solution

The fourth proportional to 1,116.93, 1,675.80 and 386.71 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.93 : 1,675.80 = 386.71 : x
  2. Step 2: Convert to fraction form
    1,116.93/1,675.80 = 386.71/x
  3. Step 3: Cross multiply
    1,116.93x = 1,675.80 × 386.71
  4. Step 4: Simplify right side
    1,116.93x = 648,048.62
  5. Step 5: Solve for x
    x = 648,048.62/1,116.93
  6. Step 6: Final answer
    x = 580.21

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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.