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Finding the Fourth Proportional to 603.93, 832.78 and 407.10

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Solution

The fourth proportional to 603.93, 832.78 and 407.10 is: 561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.93 : 832.78 = 407.10 : x
  2. Step 2: Convert to fraction form
    603.93/832.78 = 407.10/x
  3. Step 3: Cross multiply
    603.93x = 832.78 × 407.10
  4. Step 4: Simplify right side
    603.93x = 339,024.74
  5. Step 5: Solve for x
    x = 339,024.74/603.93
  6. Step 6: Final answer
    x = 561.36

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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.