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Finding the Fourth Proportional to 603.58, 832.62 and 407.20

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Solution

The fourth proportional to 603.58, 832.62 and 407.20 is: 561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.58 : 832.62 = 407.20 : x
  2. Step 2: Convert to fraction form
    603.58/832.62 = 407.20/x
  3. Step 3: Cross multiply
    603.58x = 832.62 × 407.20
  4. Step 4: Simplify right side
    603.58x = 339,042.86
  5. Step 5: Solve for x
    x = 339,042.86/603.58
  6. Step 6: Final answer
    x = 561.72

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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.