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Finding the Fourth Proportional to 617.85, 852.80 and 555.57

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Solution

The fourth proportional to 617.85, 852.80 and 555.57 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.85 : 852.80 = 555.57 : x
  2. Step 2: Convert to fraction form
    617.85/852.80 = 555.57/x
  3. Step 3: Cross multiply
    617.85x = 852.80 × 555.57
  4. Step 4: Simplify right side
    617.85x = 473,787.32
  5. Step 5: Solve for x
    x = 473,787.32/617.85
  6. Step 6: Final answer
    x = 766.83

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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.