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Finding the Fourth Proportional to 762.80, 1,051.67 and 583.65

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Solution

The fourth proportional to 762.80, 1,051.67 and 583.65 is: 804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.80 : 1,051.67 = 583.65 : x
  2. Step 2: Convert to fraction form
    762.80/1,051.67 = 583.65/x
  3. Step 3: Cross multiply
    762.80x = 1,051.67 × 583.65
  4. Step 4: Simplify right side
    762.80x = 613,804.28
  5. Step 5: Solve for x
    x = 613,804.28/762.80
  6. Step 6: Final answer
    x = 804.68

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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.