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Finding the Fourth Proportional to 566.03, 780.59 and 376.89

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Solution

The fourth proportional to 566.03, 780.59 and 376.89 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.03 : 780.59 = 376.89 : x
  2. Step 2: Convert to fraction form
    566.03/780.59 = 376.89/x
  3. Step 3: Cross multiply
    566.03x = 780.59 × 376.89
  4. Step 4: Simplify right side
    566.03x = 294,194.68
  5. Step 5: Solve for x
    x = 294,194.68/566.03
  6. Step 6: Final answer
    x = 519.76

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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.