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Finding the Fourth Proportional to 889.56, 1,228.14 and 703.80

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Solution

The fourth proportional to 889.56, 1,228.14 and 703.80 is: 971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.56 : 1,228.14 = 703.80 : x
  2. Step 2: Convert to fraction form
    889.56/1,228.14 = 703.80/x
  3. Step 3: Cross multiply
    889.56x = 1,228.14 × 703.80
  4. Step 4: Simplify right side
    889.56x = 864,364.93
  5. Step 5: Solve for x
    x = 864,364.93/889.56
  6. Step 6: Final answer
    x = 971.68

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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.