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Finding the Fourth Proportional to 857.64, 1,183.34 and 521.46

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Solution

The fourth proportional to 857.64, 1,183.34 and 521.46 is: 719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.64 : 1,183.34 = 521.46 : x
  2. Step 2: Convert to fraction form
    857.64/1,183.34 = 521.46/x
  3. Step 3: Cross multiply
    857.64x = 1,183.34 × 521.46
  4. Step 4: Simplify right side
    857.64x = 617,061.87
  5. Step 5: Solve for x
    x = 617,061.87/857.64
  6. Step 6: Final answer
    x = 719.49

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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.