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Finding the Fourth Proportional to 505.92, 698.52 and 389.76

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Solution

The fourth proportional to 505.92, 698.52 and 389.76 is: 538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 698.52 = 389.76 : x
  2. Step 2: Convert to fraction form
    505.92/698.52 = 389.76/x
  3. Step 3: Cross multiply
    505.92x = 698.52 × 389.76
  4. Step 4: Simplify right side
    505.92x = 272,255.16
  5. Step 5: Solve for x
    x = 272,255.16/505.92
  6. Step 6: Final answer
    x = 538.14

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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.