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Finding the Fourth Proportional to 857.66, 1,183.15 and 508.18

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Solution

The fourth proportional to 857.66, 1,183.15 and 508.18 is: 701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.66 : 1,183.15 = 508.18 : x
  2. Step 2: Convert to fraction form
    857.66/1,183.15 = 508.18/x
  3. Step 3: Cross multiply
    857.66x = 1,183.15 × 508.18
  4. Step 4: Simplify right side
    857.66x = 601,253.17
  5. Step 5: Solve for x
    x = 601,253.17/857.66
  6. Step 6: Final answer
    x = 701.04

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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.