Home / 1,187.10-1,638.09-766.71

Finding the Fourth Proportional to 1,187.10, 1,638.09 and 766.71

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Solution

The fourth proportional to 1,187.10, 1,638.09 and 766.71 is: 1,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.10 : 1,638.09 = 766.71 : x
  2. Step 2: Convert to fraction form
    1,187.10/1,638.09 = 766.71/x
  3. Step 3: Cross multiply
    1,187.10x = 1,638.09 × 766.71
  4. Step 4: Simplify right side
    1,187.10x = 1,255,939.98
  5. Step 5: Solve for x
    x = 1,255,939.98/1,187.10
  6. Step 6: Final answer
    x = 1,057.99

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1.5x scale

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.