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Finding the Fourth Proportional to 524.34, 782.21 and 485.64

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Solution

The fourth proportional to 524.34, 782.21 and 485.64 is: 724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 782.21 = 485.64 : x
  2. Step 2: Convert to fraction form
    524.34/782.21 = 485.64/x
  3. Step 3: Cross multiply
    524.34x = 782.21 × 485.64
  4. Step 4: Simplify right side
    524.34x = 379,870.04
  5. Step 5: Solve for x
    x = 379,870.04/524.34
  6. Step 6: Final answer
    x = 724.47

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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.