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Finding the Fourth Proportional to 926.87, 1,279.03 and 507.23

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Solution

The fourth proportional to 926.87, 1,279.03 and 507.23 is: 699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.87 : 1,279.03 = 507.23 : x
  2. Step 2: Convert to fraction form
    926.87/1,279.03 = 507.23/x
  3. Step 3: Cross multiply
    926.87x = 1,279.03 × 507.23
  4. Step 4: Simplify right side
    926.87x = 648,759.76
  5. Step 5: Solve for x
    x = 648,759.76/926.87
  6. Step 6: Final answer
    x = 699.95

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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.