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Finding the Fourth Proportional to 1,386.77, 1,913.75 and 757.31

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Solution

The fourth proportional to 1,386.77, 1,913.75 and 757.31 is: 1,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.77 : 1,913.75 = 757.31 : x
  2. Step 2: Convert to fraction form
    1,386.77/1,913.75 = 757.31/x
  3. Step 3: Cross multiply
    1,386.77x = 1,913.75 × 757.31
  4. Step 4: Simplify right side
    1,386.77x = 1,449,295.78
  5. Step 5: Solve for x
    x = 1,449,295.78/1,386.77
  6. Step 6: Final answer
    x = 1,045.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.