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Finding the Fourth Proportional to 1,022.78, 1,533.63 and 560.41

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Solution

The fourth proportional to 1,022.78, 1,533.63 and 560.41 is: 840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.78 : 1,533.63 = 560.41 : x
  2. Step 2: Convert to fraction form
    1,022.78/1,533.63 = 560.41/x
  3. Step 3: Cross multiply
    1,022.78x = 1,533.63 × 560.41
  4. Step 4: Simplify right side
    1,022.78x = 859,461.59
  5. Step 5: Solve for x
    x = 859,461.59/1,022.78
  6. Step 6: Final answer
    x = 840.32

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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.