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Finding the Fourth Proportional to 648.08, 972.65 and 370.61

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Solution

The fourth proportional to 648.08, 972.65 and 370.61 is: 556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 972.65 = 370.61 : x
  2. Step 2: Convert to fraction form
    648.08/972.65 = 370.61/x
  3. Step 3: Cross multiply
    648.08x = 972.65 × 370.61
  4. Step 4: Simplify right side
    648.08x = 360,473.82
  5. Step 5: Solve for x
    x = 360,473.82/648.08
  6. Step 6: Final answer
    x = 556.22

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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.