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Finding the Fourth Proportional to 840.37, 1,159.09 and 578.47

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Solution

The fourth proportional to 840.37, 1,159.09 and 578.47 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.37 : 1,159.09 = 578.47 : x
  2. Step 2: Convert to fraction form
    840.37/1,159.09 = 578.47/x
  3. Step 3: Cross multiply
    840.37x = 1,159.09 × 578.47
  4. Step 4: Simplify right side
    840.37x = 670,498.79
  5. Step 5: Solve for x
    x = 670,498.79/840.37
  6. Step 6: Final answer
    x = 797.86

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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.