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Finding the Fourth Proportional to 790.33, 1,183.84 and 500.35

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Solution

The fourth proportional to 790.33, 1,183.84 and 500.35 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.33 : 1,183.84 = 500.35 : x
  2. Step 2: Convert to fraction form
    790.33/1,183.84 = 500.35/x
  3. Step 3: Cross multiply
    790.33x = 1,183.84 × 500.35
  4. Step 4: Simplify right side
    790.33x = 592,334.34
  5. Step 5: Solve for x
    x = 592,334.34/790.33
  6. Step 6: Final answer
    x = 749.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.