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Finding the Fourth Proportional to 648.20, 970.75 and 373.71

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Solution

The fourth proportional to 648.20, 970.75 and 373.71 is: 559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 970.75 = 373.71 : x
  2. Step 2: Convert to fraction form
    648.20/970.75 = 373.71/x
  3. Step 3: Cross multiply
    648.20x = 970.75 × 373.71
  4. Step 4: Simplify right side
    648.20x = 362,778.98
  5. Step 5: Solve for x
    x = 362,778.98/648.20
  6. Step 6: Final answer
    x = 559.67

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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.