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Finding the Fourth Proportional to 563.47, 777.68 and 416.53

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Solution

The fourth proportional to 563.47, 777.68 and 416.53 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.47 : 777.68 = 416.53 : x
  2. Step 2: Convert to fraction form
    563.47/777.68 = 416.53/x
  3. Step 3: Cross multiply
    563.47x = 777.68 × 416.53
  4. Step 4: Simplify right side
    563.47x = 323,927.05
  5. Step 5: Solve for x
    x = 323,927.05/563.47
  6. Step 6: Final answer
    x = 574.88

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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.