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Finding the Fourth Proportional to 514.20, 766.41 and 485.01

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Solution

The fourth proportional to 514.20, 766.41 and 485.01 is: 722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 766.41 = 485.01 : x
  2. Step 2: Convert to fraction form
    514.20/766.41 = 485.01/x
  3. Step 3: Cross multiply
    514.20x = 766.41 × 485.01
  4. Step 4: Simplify right side
    514.20x = 371,710.26
  5. Step 5: Solve for x
    x = 371,710.26/514.20
  6. Step 6: Final answer
    x = 722.90

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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.