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Finding the Fourth Proportional to 566.10, 780.83 and 547.05

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Solution

The fourth proportional to 566.10, 780.83 and 547.05 is: 754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 780.83 = 547.05 : x
  2. Step 2: Convert to fraction form
    566.10/780.83 = 547.05/x
  3. Step 3: Cross multiply
    566.10x = 780.83 × 547.05
  4. Step 4: Simplify right side
    566.10x = 427,155.39
  5. Step 5: Solve for x
    x = 427,155.39/566.10
  6. Step 6: Final answer
    x = 754.55

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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.