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Finding the Fourth Proportional to 519.88, 785.72 and 510.92

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Solution

The fourth proportional to 519.88, 785.72 and 510.92 is: 772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.88 : 785.72 = 510.92 : x
  2. Step 2: Convert to fraction form
    519.88/785.72 = 510.92/x
  3. Step 3: Cross multiply
    519.88x = 785.72 × 510.92
  4. Step 4: Simplify right side
    519.88x = 401,440.06
  5. Step 5: Solve for x
    x = 401,440.06/519.88
  6. Step 6: Final answer
    x = 772.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.