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Finding the Fourth Proportional to 514.94, 772.70 and 339.24

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Solution

The fourth proportional to 514.94, 772.70 and 339.24 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 772.70 = 339.24 : x
  2. Step 2: Convert to fraction form
    514.94/772.70 = 339.24/x
  3. Step 3: Cross multiply
    514.94x = 772.70 × 339.24
  4. Step 4: Simplify right side
    514.94x = 262,129.05
  5. Step 5: Solve for x
    x = 262,129.05/514.94
  6. Step 6: Final answer
    x = 509.05

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Double scale
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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.