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Finding the Fourth Proportional to 514.86, 705.89 and 505.64

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Solution

The fourth proportional to 514.86, 705.89 and 505.64 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.86 : 705.89 = 505.64 : x
  2. Step 2: Convert to fraction form
    514.86/705.89 = 505.64/x
  3. Step 3: Cross multiply
    514.86x = 705.89 × 505.64
  4. Step 4: Simplify right side
    514.86x = 356,920.16
  5. Step 5: Solve for x
    x = 356,920.16/514.86
  6. Step 6: Final answer
    x = 693.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.