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Finding the Fourth Proportional to 514.30, 771.33 and 410.74

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Solution

The fourth proportional to 514.30, 771.33 and 410.74 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.30 : 771.33 = 410.74 : x
  2. Step 2: Convert to fraction form
    514.30/771.33 = 410.74/x
  3. Step 3: Cross multiply
    514.30x = 771.33 × 410.74
  4. Step 4: Simplify right side
    514.30x = 316,816.08
  5. Step 5: Solve for x
    x = 316,816.08/514.30
  6. Step 6: Final answer
    x = 616.01

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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.