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Finding the Fourth Proportional to 465.09, 693.58 and 407.58

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Solution

The fourth proportional to 465.09, 693.58 and 407.58 is: 607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 693.58 = 407.58 : x
  2. Step 2: Convert to fraction form
    465.09/693.58 = 407.58/x
  3. Step 3: Cross multiply
    465.09x = 693.58 × 407.58
  4. Step 4: Simplify right side
    465.09x = 282,687.30
  5. Step 5: Solve for x
    x = 282,687.30/465.09
  6. Step 6: Final answer
    x = 607.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.