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Finding the Fourth Proportional to 1,023.48, 1,533.72 and 776.52

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Solution

The fourth proportional to 1,023.48, 1,533.72 and 776.52 is: 1,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.48 : 1,533.72 = 776.52 : x
  2. Step 2: Convert to fraction form
    1,023.48/1,533.72 = 776.52/x
  3. Step 3: Cross multiply
    1,023.48x = 1,533.72 × 776.52
  4. Step 4: Simplify right side
    1,023.48x = 1,190,964.25
  5. Step 5: Solve for x
    x = 1,190,964.25/1,023.48
  6. Step 6: Final answer
    x = 1,163.64

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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.