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Finding the Fourth Proportional to 1,284.77, 1,771.80 and 964.46

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Solution

The fourth proportional to 1,284.77, 1,771.80 and 964.46 is: 1,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.77 : 1,771.80 = 964.46 : x
  2. Step 2: Convert to fraction form
    1,284.77/1,771.80 = 964.46/x
  3. Step 3: Cross multiply
    1,284.77x = 1,771.80 × 964.46
  4. Step 4: Simplify right side
    1,284.77x = 1,708,830.23
  5. Step 5: Solve for x
    x = 1,708,830.23/1,284.77
  6. Step 6: Final answer
    x = 1,330.07

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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.