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Finding the Fourth Proportional to 648.29, 970.99 and 500.96

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Solution

The fourth proportional to 648.29, 970.99 and 500.96 is: 750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.29 : 970.99 = 500.96 : x
  2. Step 2: Convert to fraction form
    648.29/970.99 = 500.96/x
  3. Step 3: Cross multiply
    648.29x = 970.99 × 500.96
  4. Step 4: Simplify right side
    648.29x = 486,428.33
  5. Step 5: Solve for x
    x = 486,428.33/648.29
  6. Step 6: Final answer
    x = 750.32

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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.