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Finding the Fourth Proportional to 840.78, 1,160.07 and 546.06

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Solution

The fourth proportional to 840.78, 1,160.07 and 546.06 is: 753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.78 : 1,160.07 = 546.06 : x
  2. Step 2: Convert to fraction form
    840.78/1,160.07 = 546.06/x
  3. Step 3: Cross multiply
    840.78x = 1,160.07 × 546.06
  4. Step 4: Simplify right side
    840.78x = 633,467.82
  5. Step 5: Solve for x
    x = 633,467.82/840.78
  6. Step 6: Final answer
    x = 753.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.