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Finding the Fourth Proportional to 1,750.57, 2,415.78 and 964.60

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Solution

The fourth proportional to 1,750.57, 2,415.78 and 964.60 is: 1,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.57 : 2,415.78 = 964.60 : x
  2. Step 2: Convert to fraction form
    1,750.57/2,415.78 = 964.60/x
  3. Step 3: Cross multiply
    1,750.57x = 2,415.78 × 964.60
  4. Step 4: Simplify right side
    1,750.57x = 2,330,261.39
  5. Step 5: Solve for x
    x = 2,330,261.39/1,750.57
  6. Step 6: Final answer
    x = 1,331.14

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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.