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Finding the Fourth Proportional to 563.21, 777.59 and 386.47

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Solution

The fourth proportional to 563.21, 777.59 and 386.47 is: 533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.21 : 777.59 = 386.47 : x
  2. Step 2: Convert to fraction form
    563.21/777.59 = 386.47/x
  3. Step 3: Cross multiply
    563.21x = 777.59 × 386.47
  4. Step 4: Simplify right side
    563.21x = 300,515.21
  5. Step 5: Solve for x
    x = 300,515.21/563.21
  6. Step 6: Final answer
    x = 533.58

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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.