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Finding the Fourth Proportional to 1,027.80, 1,416.36 and 716.76

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Solution

The fourth proportional to 1,027.80, 1,416.36 and 716.76 is: 987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.80 : 1,416.36 = 716.76 : x
  2. Step 2: Convert to fraction form
    1,027.80/1,416.36 = 716.76/x
  3. Step 3: Cross multiply
    1,027.80x = 1,416.36 × 716.76
  4. Step 4: Simplify right side
    1,027.80x = 1,015,190.19
  5. Step 5: Solve for x
    x = 1,015,190.19/1,027.80
  6. Step 6: Final answer
    x = 987.73

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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.