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Finding the Fourth Proportional to 559.00, 770.68 and 459.05

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Solution

The fourth proportional to 559.00, 770.68 and 459.05 is: 632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.00 : 770.68 = 459.05 : x
  2. Step 2: Convert to fraction form
    559.00/770.68 = 459.05/x
  3. Step 3: Cross multiply
    559.00x = 770.68 × 459.05
  4. Step 4: Simplify right side
    559.00x = 353,775.65
  5. Step 5: Solve for x
    x = 353,775.65/559.00
  6. Step 6: Final answer
    x = 632.88

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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.