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Finding the Fourth Proportional to 822.88, 1,228.53 and 723.68

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Solution

The fourth proportional to 822.88, 1,228.53 and 723.68 is: 1,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.88 : 1,228.53 = 723.68 : x
  2. Step 2: Convert to fraction form
    822.88/1,228.53 = 723.68/x
  3. Step 3: Cross multiply
    822.88x = 1,228.53 × 723.68
  4. Step 4: Simplify right side
    822.88x = 889,070.68
  5. Step 5: Solve for x
    x = 889,070.68/822.88
  6. Step 6: Final answer
    x = 1,080.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.