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Finding the Fourth Proportional to 651.70, 982.06 and 590.19

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Solution

The fourth proportional to 651.70, 982.06 and 590.19 is: 889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 982.06 = 590.19 : x
  2. Step 2: Convert to fraction form
    651.70/982.06 = 590.19/x
  3. Step 3: Cross multiply
    651.70x = 982.06 × 590.19
  4. Step 4: Simplify right side
    651.70x = 579,596.83
  5. Step 5: Solve for x
    x = 579,596.83/651.70
  6. Step 6: Final answer
    x = 889.37

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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.