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Finding the Fourth Proportional to 514.72, 705.71 and 505.47

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Solution

The fourth proportional to 514.72, 705.71 and 505.47 is: 693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.72 : 705.71 = 505.47 : x
  2. Step 2: Convert to fraction form
    514.72/705.71 = 505.47/x
  3. Step 3: Cross multiply
    514.72x = 705.71 × 505.47
  4. Step 4: Simplify right side
    514.72x = 356,715.23
  5. Step 5: Solve for x
    x = 356,715.23/514.72
  6. Step 6: Final answer
    x = 693.03

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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.