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Finding the Fourth Proportional to 561.58, 840.32 and 330.58

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Solution

The fourth proportional to 561.58, 840.32 and 330.58 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.58 : 840.32 = 330.58 : x
  2. Step 2: Convert to fraction form
    561.58/840.32 = 330.58/x
  3. Step 3: Cross multiply
    561.58x = 840.32 × 330.58
  4. Step 4: Simplify right side
    561.58x = 277,789.23
  5. Step 5: Solve for x
    x = 277,789.23/561.58
  6. Step 6: Final answer
    x = 494.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.