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Finding the Fourth Proportional to 857.63, 1,183.55 and 508.32

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Solution

The fourth proportional to 857.63, 1,183.55 and 508.32 is: 701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.63 : 1,183.55 = 508.32 : x
  2. Step 2: Convert to fraction form
    857.63/1,183.55 = 508.32/x
  3. Step 3: Cross multiply
    857.63x = 1,183.55 × 508.32
  4. Step 4: Simplify right side
    857.63x = 601,622.14
  5. Step 5: Solve for x
    x = 601,622.14/857.63
  6. Step 6: Final answer
    x = 701.49

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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.