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Finding the Fourth Proportional to 563.00, 777.14 and 341.95

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Solution

The fourth proportional to 563.00, 777.14 and 341.95 is: 472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.00 : 777.14 = 341.95 : x
  2. Step 2: Convert to fraction form
    563.00/777.14 = 341.95/x
  3. Step 3: Cross multiply
    563.00x = 777.14 × 341.95
  4. Step 4: Simplify right side
    563.00x = 265,741.85
  5. Step 5: Solve for x
    x = 265,741.85/563.00
  6. Step 6: Final answer
    x = 472.01

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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.