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Finding the Fourth Proportional to 1,386.51, 2,080.20 and 606.15

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Solution

The fourth proportional to 1,386.51, 2,080.20 and 606.15 is: 909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.51 : 2,080.20 = 606.15 : x
  2. Step 2: Convert to fraction form
    1,386.51/2,080.20 = 606.15/x
  3. Step 3: Cross multiply
    1,386.51x = 2,080.20 × 606.15
  4. Step 4: Simplify right side
    1,386.51x = 1,260,913.23
  5. Step 5: Solve for x
    x = 1,260,913.23/1,386.51
  6. Step 6: Final answer
    x = 909.42

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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.