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Finding the Fourth Proportional to 746.32, 1,028.68 and 590.80

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Solution

The fourth proportional to 746.32, 1,028.68 and 590.80 is: 814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.32 : 1,028.68 = 590.80 : x
  2. Step 2: Convert to fraction form
    746.32/1,028.68 = 590.80/x
  3. Step 3: Cross multiply
    746.32x = 1,028.68 × 590.80
  4. Step 4: Simplify right side
    746.32x = 607,744.14
  5. Step 5: Solve for x
    x = 607,744.14/746.32
  6. Step 6: Final answer
    x = 814.32

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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.