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Finding the Fourth Proportional to 840.54, 1,159.52 and 491

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Solution

The fourth proportional to 840.54, 1,159.52 and 491 is: 677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,159.52 = 491 : x
  2. Step 2: Convert to fraction form
    840.54/1,159.52 = 491/x
  3. Step 3: Cross multiply
    840.54x = 1,159.52 × 491
  4. Step 4: Simplify right side
    840.54x = 569,324.32
  5. Step 5: Solve for x
    x = 569,324.32/840.54
  6. Step 6: Final answer
    x = 677.33

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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.