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Finding the Fourth Proportional to 1,022.90, 1,533.29 and 474.63

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Solution

The fourth proportional to 1,022.90, 1,533.29 and 474.63 is: 711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.90 : 1,533.29 = 474.63 : x
  2. Step 2: Convert to fraction form
    1,022.90/1,533.29 = 474.63/x
  3. Step 3: Cross multiply
    1,022.90x = 1,533.29 × 474.63
  4. Step 4: Simplify right side
    1,022.90x = 727,743.06
  5. Step 5: Solve for x
    x = 727,743.06/1,022.90
  6. Step 6: Final answer
    x = 711.45

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Double scale
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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.