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Finding the Fourth Proportional to 563.32, 777.47 and 406.48

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Solution

The fourth proportional to 563.32, 777.47 and 406.48 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 777.47 = 406.48 : x
  2. Step 2: Convert to fraction form
    563.32/777.47 = 406.48/x
  3. Step 3: Cross multiply
    563.32x = 777.47 × 406.48
  4. Step 4: Simplify right side
    563.32x = 316,026.01
  5. Step 5: Solve for x
    x = 316,026.01/563.32
  6. Step 6: Final answer
    x = 561.01

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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.