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Finding the Fourth Proportional to 575, 861.34 and 369.06

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Solution

The fourth proportional to 575, 861.34 and 369.06 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 861.34 = 369.06 : x
  2. Step 2: Convert to fraction form
    575/861.34 = 369.06/x
  3. Step 3: Cross multiply
    575x = 861.34 × 369.06
  4. Step 4: Simplify right side
    575x = 317,886.14
  5. Step 5: Solve for x
    x = 317,886.14/575
  6. Step 6: Final answer
    x = 552.85

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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.