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Finding the Fourth Proportional to 580.51, 800.58 and 381.16

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Solution

The fourth proportional to 580.51, 800.58 and 381.16 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.51 : 800.58 = 381.16 : x
  2. Step 2: Convert to fraction form
    580.51/800.58 = 381.16/x
  3. Step 3: Cross multiply
    580.51x = 800.58 × 381.16
  4. Step 4: Simplify right side
    580.51x = 305,149.07
  5. Step 5: Solve for x
    x = 305,149.07/580.51
  6. Step 6: Final answer
    x = 525.66

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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.