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Finding the Fourth Proportional to 563.90, 777.87 and 330.98

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Solution

The fourth proportional to 563.90, 777.87 and 330.98 is: 456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 777.87 = 330.98 : x
  2. Step 2: Convert to fraction form
    563.90/777.87 = 330.98/x
  3. Step 3: Cross multiply
    563.90x = 777.87 × 330.98
  4. Step 4: Simplify right side
    563.90x = 257,459.41
  5. Step 5: Solve for x
    x = 257,459.41/563.90
  6. Step 6: Final answer
    x = 456.57

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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.