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Finding the Fourth Proportional to 521.19, 717.93 and 380.93

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Solution

The fourth proportional to 521.19, 717.93 and 380.93 is: 524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 717.93 = 380.93 : x
  2. Step 2: Convert to fraction form
    521.19/717.93 = 380.93/x
  3. Step 3: Cross multiply
    521.19x = 717.93 × 380.93
  4. Step 4: Simplify right side
    521.19x = 273,477.49
  5. Step 5: Solve for x
    x = 273,477.49/521.19
  6. Step 6: Final answer
    x = 524.72

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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.