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Finding the Fourth Proportional to 780.83, 1,074.30 and 593.22

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Solution

The fourth proportional to 780.83, 1,074.30 and 593.22 is: 816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.83 : 1,074.30 = 593.22 : x
  2. Step 2: Convert to fraction form
    780.83/1,074.30 = 593.22/x
  3. Step 3: Cross multiply
    780.83x = 1,074.30 × 593.22
  4. Step 4: Simplify right side
    780.83x = 637,296.25
  5. Step 5: Solve for x
    x = 637,296.25/780.83
  6. Step 6: Final answer
    x = 816.18

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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.