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Finding the Fourth Proportional to 1,188.26, 1,637.58 and 856.10

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Solution

The fourth proportional to 1,188.26, 1,637.58 and 856.10 is: 1,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.26 : 1,637.58 = 856.10 : x
  2. Step 2: Convert to fraction form
    1,188.26/1,637.58 = 856.10/x
  3. Step 3: Cross multiply
    1,188.26x = 1,637.58 × 856.10
  4. Step 4: Simplify right side
    1,188.26x = 1,401,932.24
  5. Step 5: Solve for x
    x = 1,401,932.24/1,188.26
  6. Step 6: Final answer
    x = 1,179.82

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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.