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Finding the Fourth Proportional to 1,116.48, 1,674.80 and 386.16

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Solution

The fourth proportional to 1,116.48, 1,674.80 and 386.16 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.48 : 1,674.80 = 386.16 : x
  2. Step 2: Convert to fraction form
    1,116.48/1,674.80 = 386.16/x
  3. Step 3: Cross multiply
    1,116.48x = 1,674.80 × 386.16
  4. Step 4: Simplify right side
    1,116.48x = 646,740.77
  5. Step 5: Solve for x
    x = 646,740.77/1,116.48
  6. Step 6: Final answer
    x = 579.27

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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.