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Finding the Fourth Proportional to 566.50, 782.10 and 428.26

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Solution

The fourth proportional to 566.50, 782.10 and 428.26 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 782.10 = 428.26 : x
  2. Step 2: Convert to fraction form
    566.50/782.10 = 428.26/x
  3. Step 3: Cross multiply
    566.50x = 782.10 × 428.26
  4. Step 4: Simplify right side
    566.50x = 334,942.15
  5. Step 5: Solve for x
    x = 334,942.15/566.50
  6. Step 6: Final answer
    x = 591.25

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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.