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Finding the Fourth Proportional to 514.10, 771.12 and 432.80

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Solution

The fourth proportional to 514.10, 771.12 and 432.80 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 771.12 = 432.80 : x
  2. Step 2: Convert to fraction form
    514.10/771.12 = 432.80/x
  3. Step 3: Cross multiply
    514.10x = 771.12 × 432.80
  4. Step 4: Simplify right side
    514.10x = 333,740.74
  5. Step 5: Solve for x
    x = 333,740.74/514.10
  6. Step 6: Final answer
    x = 649.17

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1.5x scale

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.