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Finding the Fourth Proportional to 465.78, 641.32 and 407.57

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Solution

The fourth proportional to 465.78, 641.32 and 407.57 is: 561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 641.32 = 407.57 : x
  2. Step 2: Convert to fraction form
    465.78/641.32 = 407.57/x
  3. Step 3: Cross multiply
    465.78x = 641.32 × 407.57
  4. Step 4: Simplify right side
    465.78x = 261,378.57
  5. Step 5: Solve for x
    x = 261,378.57/465.78
  6. Step 6: Final answer
    x = 561.16

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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.