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Finding the Fourth Proportional to 840.89, 1,160.28 and 486.63

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Solution

The fourth proportional to 840.89, 1,160.28 and 486.63 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.89 : 1,160.28 = 486.63 : x
  2. Step 2: Convert to fraction form
    840.89/1,160.28 = 486.63/x
  3. Step 3: Cross multiply
    840.89x = 1,160.28 × 486.63
  4. Step 4: Simplify right side
    840.89x = 564,627.06
  5. Step 5: Solve for x
    x = 564,627.06/840.89
  6. Step 6: Final answer
    x = 671.47

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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.