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Finding the Fourth Proportional to 1,086.77, 1,498.75 and 713.61

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Solution

The fourth proportional to 1,086.77, 1,498.75 and 713.61 is: 984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.77 : 1,498.75 = 713.61 : x
  2. Step 2: Convert to fraction form
    1,086.77/1,498.75 = 713.61/x
  3. Step 3: Cross multiply
    1,086.77x = 1,498.75 × 713.61
  4. Step 4: Simplify right side
    1,086.77x = 1,069,522.99
  5. Step 5: Solve for x
    x = 1,069,522.99/1,086.77
  6. Step 6: Final answer
    x = 984.13

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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.