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Finding the Fourth Proportional to 597.98, 828.62 and 561.44

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Solution

The fourth proportional to 597.98, 828.62 and 561.44 is: 777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.98 : 828.62 = 561.44 : x
  2. Step 2: Convert to fraction form
    597.98/828.62 = 561.44/x
  3. Step 3: Cross multiply
    597.98x = 828.62 × 561.44
  4. Step 4: Simplify right side
    597.98x = 465,220.41
  5. Step 5: Solve for x
    x = 465,220.41/597.98
  6. Step 6: Final answer
    x = 777.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.