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Finding the Fourth Proportional to 1,022.77, 1,533.64 and 474.49

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Solution

The fourth proportional to 1,022.77, 1,533.64 and 474.49 is: 711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.77 : 1,533.64 = 474.49 : x
  2. Step 2: Convert to fraction form
    1,022.77/1,533.64 = 474.49/x
  3. Step 3: Cross multiply
    1,022.77x = 1,533.64 × 474.49
  4. Step 4: Simplify right side
    1,022.77x = 727,696.84
  5. Step 5: Solve for x
    x = 727,696.84/1,022.77
  6. Step 6: Final answer
    x = 711.50

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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.