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Finding the Fourth Proportional to 857.77, 1,183.48 and 538.78

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Solution

The fourth proportional to 857.77, 1,183.48 and 538.78 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.77 : 1,183.48 = 538.78 : x
  2. Step 2: Convert to fraction form
    857.77/1,183.48 = 538.78/x
  3. Step 3: Cross multiply
    857.77x = 1,183.48 × 538.78
  4. Step 4: Simplify right side
    857.77x = 637,635.35
  5. Step 5: Solve for x
    x = 637,635.35/857.77
  6. Step 6: Final answer
    x = 743.36

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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.