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Finding the Fourth Proportional to 704.76, 970.54 and 617.28

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Solution

The fourth proportional to 704.76, 970.54 and 617.28 is: 850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 970.54 = 617.28 : x
  2. Step 2: Convert to fraction form
    704.76/970.54 = 617.28/x
  3. Step 3: Cross multiply
    704.76x = 970.54 × 617.28
  4. Step 4: Simplify right side
    704.76x = 599,094.93
  5. Step 5: Solve for x
    x = 599,094.93/704.76
  6. Step 6: Final answer
    x = 850.07

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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.