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Finding the Fourth Proportional to 645.19, 889.51 and 424.06

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Solution

The fourth proportional to 645.19, 889.51 and 424.06 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 889.51 = 424.06 : x
  2. Step 2: Convert to fraction form
    645.19/889.51 = 424.06/x
  3. Step 3: Cross multiply
    645.19x = 889.51 × 424.06
  4. Step 4: Simplify right side
    645.19x = 377,205.61
  5. Step 5: Solve for x
    x = 377,205.61/645.19
  6. Step 6: Final answer
    x = 584.64

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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.