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Finding the Fourth Proportional to 837.87, 1,258.50 and 509.13

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Solution

The fourth proportional to 837.87, 1,258.50 and 509.13 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.87 : 1,258.50 = 509.13 : x
  2. Step 2: Convert to fraction form
    837.87/1,258.50 = 509.13/x
  3. Step 3: Cross multiply
    837.87x = 1,258.50 × 509.13
  4. Step 4: Simplify right side
    837.87x = 640,740.11
  5. Step 5: Solve for x
    x = 640,740.11/837.87
  6. Step 6: Final answer
    x = 764.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.