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Finding the Fourth Proportional to 849.76, 1,173.40 and 822.24

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Solution

The fourth proportional to 849.76, 1,173.40 and 822.24 is: 1,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.76 : 1,173.40 = 822.24 : x
  2. Step 2: Convert to fraction form
    849.76/1,173.40 = 822.24/x
  3. Step 3: Cross multiply
    849.76x = 1,173.40 × 822.24
  4. Step 4: Simplify right side
    849.76x = 964,816.42
  5. Step 5: Solve for x
    x = 964,816.42/849.76
  6. Step 6: Final answer
    x = 1,135.40

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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.