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Finding the Fourth Proportional to 524.30, 782.67 and 459.50

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Solution

The fourth proportional to 524.30, 782.67 and 459.50 is: 685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 782.67 = 459.50 : x
  2. Step 2: Convert to fraction form
    524.30/782.67 = 459.50/x
  3. Step 3: Cross multiply
    524.30x = 782.67 × 459.50
  4. Step 4: Simplify right side
    524.30x = 359,634.57
  5. Step 5: Solve for x
    x = 359,634.57/524.30
  6. Step 6: Final answer
    x = 685.93

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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.