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Finding the Fourth Proportional to 514.35, 766.08 and 508.68

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Solution

The fourth proportional to 514.35, 766.08 and 508.68 is: 757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.35 : 766.08 = 508.68 : x
  2. Step 2: Convert to fraction form
    514.35/766.08 = 508.68/x
  3. Step 3: Cross multiply
    514.35x = 766.08 × 508.68
  4. Step 4: Simplify right side
    514.35x = 389,689.57
  5. Step 5: Solve for x
    x = 389,689.57/514.35
  6. Step 6: Final answer
    x = 757.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.