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Finding the Fourth Proportional to 525.81, 784.74 and 459.63

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Solution

The fourth proportional to 525.81, 784.74 and 459.63 is: 685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.81 : 784.74 = 459.63 : x
  2. Step 2: Convert to fraction form
    525.81/784.74 = 459.63/x
  3. Step 3: Cross multiply
    525.81x = 784.74 × 459.63
  4. Step 4: Simplify right side
    525.81x = 360,690.05
  5. Step 5: Solve for x
    x = 360,690.05/525.81
  6. Step 6: Final answer
    x = 685.97

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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.