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Finding the Fourth Proportional to 645.23, 889.95 and 598.45

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Solution

The fourth proportional to 645.23, 889.95 and 598.45 is: 825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 889.95 = 598.45 : x
  2. Step 2: Convert to fraction form
    645.23/889.95 = 598.45/x
  3. Step 3: Cross multiply
    645.23x = 889.95 × 598.45
  4. Step 4: Simplify right side
    645.23x = 532,590.58
  5. Step 5: Solve for x
    x = 532,590.58/645.23
  6. Step 6: Final answer
    x = 825.43

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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.