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Finding the Fourth Proportional to 559.71, 770.13 and 459.76

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Solution

The fourth proportional to 559.71, 770.13 and 459.76 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.71 : 770.13 = 459.76 : x
  2. Step 2: Convert to fraction form
    559.71/770.13 = 459.76/x
  3. Step 3: Cross multiply
    559.71x = 770.13 × 459.76
  4. Step 4: Simplify right side
    559.71x = 354,074.97
  5. Step 5: Solve for x
    x = 354,074.97/559.71
  6. Step 6: Final answer
    x = 632.60

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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.