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Finding the Fourth Proportional to 559.64, 843.95 and 556.00

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Solution

The fourth proportional to 559.64, 843.95 and 556.00 is: 838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 843.95 = 556.00 : x
  2. Step 2: Convert to fraction form
    559.64/843.95 = 556.00/x
  3. Step 3: Cross multiply
    559.64x = 843.95 × 556.00
  4. Step 4: Simplify right side
    559.64x = 469,235.48
  5. Step 5: Solve for x
    x = 469,235.48/559.64
  6. Step 6: Final answer
    x = 838.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.