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Finding the Fourth Proportional to 515.96, 776.68 and 395.72

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Solution

The fourth proportional to 515.96, 776.68 and 395.72 is: 595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 776.68 = 395.72 : x
  2. Step 2: Convert to fraction form
    515.96/776.68 = 395.72/x
  3. Step 3: Cross multiply
    515.96x = 776.68 × 395.72
  4. Step 4: Simplify right side
    515.96x = 307,347.81
  5. Step 5: Solve for x
    x = 307,347.81/515.96
  6. Step 6: Final answer
    x = 595.68

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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.