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Finding the Fourth Proportional to 559.06, 833.75 and 477.30

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Solution

The fourth proportional to 559.06, 833.75 and 477.30 is: 711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.06 : 833.75 = 477.30 : x
  2. Step 2: Convert to fraction form
    559.06/833.75 = 477.30/x
  3. Step 3: Cross multiply
    559.06x = 833.75 × 477.30
  4. Step 4: Simplify right side
    559.06x = 397,948.88
  5. Step 5: Solve for x
    x = 397,948.88/559.06
  6. Step 6: Final answer
    x = 711.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.