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Finding the Fourth Proportional to 857.74, 1,183.71 and 521.58

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Solution

The fourth proportional to 857.74, 1,183.71 and 521.58 is: 719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,183.71 = 521.58 : x
  2. Step 2: Convert to fraction form
    857.74/1,183.71 = 521.58/x
  3. Step 3: Cross multiply
    857.74x = 1,183.71 × 521.58
  4. Step 4: Simplify right side
    857.74x = 617,399.46
  5. Step 5: Solve for x
    x = 617,399.46/857.74
  6. Step 6: Final answer
    x = 719.80

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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.