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Finding the Fourth Proportional to 715.23, 1,072.46 and 339.59

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Solution

The fourth proportional to 715.23, 1,072.46 and 339.59 is: 509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.23 : 1,072.46 = 339.59 : x
  2. Step 2: Convert to fraction form
    715.23/1,072.46 = 339.59/x
  3. Step 3: Cross multiply
    715.23x = 1,072.46 × 339.59
  4. Step 4: Simplify right side
    715.23x = 364,189.63
  5. Step 5: Solve for x
    x = 364,189.63/715.23
  6. Step 6: Final answer
    x = 509.19

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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.