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Finding the Fourth Proportional to 511.70, 766.65 and 454.10

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Solution

The fourth proportional to 511.70, 766.65 and 454.10 is: 680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 766.65 = 454.10 : x
  2. Step 2: Convert to fraction form
    511.70/766.65 = 454.10/x
  3. Step 3: Cross multiply
    511.70x = 766.65 × 454.10
  4. Step 4: Simplify right side
    511.70x = 348,135.77
  5. Step 5: Solve for x
    x = 348,135.77/511.70
  6. Step 6: Final answer
    x = 680.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.