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Finding the Fourth Proportional to 559.95, 838.70 and 397.14

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Solution

The fourth proportional to 559.95, 838.70 and 397.14 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.95 : 838.70 = 397.14 : x
  2. Step 2: Convert to fraction form
    559.95/838.70 = 397.14/x
  3. Step 3: Cross multiply
    559.95x = 838.70 × 397.14
  4. Step 4: Simplify right side
    559.95x = 333,075.14
  5. Step 5: Solve for x
    x = 333,075.14/559.95
  6. Step 6: Final answer
    x = 594.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.