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Finding the Fourth Proportional to 514.10, 766.77 and 495.74

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Solution

The fourth proportional to 514.10, 766.77 and 495.74 is: 739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 766.77 = 495.74 : x
  2. Step 2: Convert to fraction form
    514.10/766.77 = 495.74/x
  3. Step 3: Cross multiply
    514.10x = 766.77 × 495.74
  4. Step 4: Simplify right side
    514.10x = 380,116.08
  5. Step 5: Solve for x
    x = 380,116.08/514.10
  6. Step 6: Final answer
    x = 739.38

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1.5x scale

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.