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Finding the Fourth Proportional to 739.70, 1,021.64 and 590.82

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Solution

The fourth proportional to 739.70, 1,021.64 and 590.82 is: 816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.70 : 1,021.64 = 590.82 : x
  2. Step 2: Convert to fraction form
    739.70/1,021.64 = 590.82/x
  3. Step 3: Cross multiply
    739.70x = 1,021.64 × 590.82
  4. Step 4: Simplify right side
    739.70x = 603,605.34
  5. Step 5: Solve for x
    x = 603,605.34/739.70
  6. Step 6: Final answer
    x = 816.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.