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Finding the Fourth Proportional to 715.50, 1,072.53 and 368.98

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Solution

The fourth proportional to 715.50, 1,072.53 and 368.98 is: 553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.50 : 1,072.53 = 368.98 : x
  2. Step 2: Convert to fraction form
    715.50/1,072.53 = 368.98/x
  3. Step 3: Cross multiply
    715.50x = 1,072.53 × 368.98
  4. Step 4: Simplify right side
    715.50x = 395,739.44
  5. Step 5: Solve for x
    x = 395,739.44/715.50
  6. Step 6: Final answer
    x = 553.09

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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.