Home / 1,587.49-2,382.77-766.34

Finding the Fourth Proportional to 1,587.49, 2,382.77 and 766.34

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Solution

The fourth proportional to 1,587.49, 2,382.77 and 766.34 is: 1,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.49 : 2,382.77 = 766.34 : x
  2. Step 2: Convert to fraction form
    1,587.49/2,382.77 = 766.34/x
  3. Step 3: Cross multiply
    1,587.49x = 2,382.77 × 766.34
  4. Step 4: Simplify right side
    1,587.49x = 1,826,011.96
  5. Step 5: Solve for x
    x = 1,826,011.96/1,587.49
  6. Step 6: Final answer
    x = 1,150.25

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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.