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Finding the Fourth Proportional to 559.73, 770.37 and 459.29

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Solution

The fourth proportional to 559.73, 770.37 and 459.29 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.73 : 770.37 = 459.29 : x
  2. Step 2: Convert to fraction form
    559.73/770.37 = 459.29/x
  3. Step 3: Cross multiply
    559.73x = 770.37 × 459.29
  4. Step 4: Simplify right side
    559.73x = 353,823.24
  5. Step 5: Solve for x
    x = 353,823.24/559.73
  6. Step 6: Final answer
    x = 632.13

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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.