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Finding the Fourth Proportional to 515.42, 775.89 and 462.50

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Solution

The fourth proportional to 515.42, 775.89 and 462.50 is: 696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 775.89 = 462.50 : x
  2. Step 2: Convert to fraction form
    515.42/775.89 = 462.50/x
  3. Step 3: Cross multiply
    515.42x = 775.89 × 462.50
  4. Step 4: Simplify right side
    515.42x = 358,849.13
  5. Step 5: Solve for x
    x = 358,849.13/515.42
  6. Step 6: Final answer
    x = 696.23

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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.