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Finding the Fourth Proportional to 2,258.70, 3,385.73 and 777.47

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Solution

The fourth proportional to 2,258.70, 3,385.73 and 777.47 is: 1,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.70 : 3,385.73 = 777.47 : x
  2. Step 2: Convert to fraction form
    2,258.70/3,385.73 = 777.47/x
  3. Step 3: Cross multiply
    2,258.70x = 3,385.73 × 777.47
  4. Step 4: Simplify right side
    2,258.70x = 2,632,303.50
  5. Step 5: Solve for x
    x = 2,632,303.50/2,258.70
  6. Step 6: Final answer
    x = 1,165.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.