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Finding the Fourth Proportional to 648.40, 976.10 and 590.99

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Solution

The fourth proportional to 648.40, 976.10 and 590.99 is: 889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 976.10 = 590.99 : x
  2. Step 2: Convert to fraction form
    648.40/976.10 = 590.99/x
  3. Step 3: Cross multiply
    648.40x = 976.10 × 590.99
  4. Step 4: Simplify right side
    648.40x = 576,869.26
  5. Step 5: Solve for x
    x = 576,869.26/648.40
  6. Step 6: Final answer
    x = 889.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.