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Finding the Fourth Proportional to 603.32, 832.56 and 406.76

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Solution

The fourth proportional to 603.32, 832.56 and 406.76 is: 561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.32 : 832.56 = 406.76 : x
  2. Step 2: Convert to fraction form
    603.32/832.56 = 406.76/x
  3. Step 3: Cross multiply
    603.32x = 832.56 × 406.76
  4. Step 4: Simplify right side
    603.32x = 338,652.11
  5. Step 5: Solve for x
    x = 338,652.11/603.32
  6. Step 6: Final answer
    x = 561.31

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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.