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Finding the Fourth Proportional to 648.99, 973.67 and 402.39

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Solution

The fourth proportional to 648.99, 973.67 and 402.39 is: 603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.99 : 973.67 = 402.39 : x
  2. Step 2: Convert to fraction form
    648.99/973.67 = 402.39/x
  3. Step 3: Cross multiply
    648.99x = 973.67 × 402.39
  4. Step 4: Simplify right side
    648.99x = 391,793.06
  5. Step 5: Solve for x
    x = 391,793.06/648.99
  6. Step 6: Final answer
    x = 603.70

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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.