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Finding the Fourth Proportional to 1,200.52, 1,657.76 and 923.50

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Solution

The fourth proportional to 1,200.52, 1,657.76 and 923.50 is: 1,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.52 : 1,657.76 = 923.50 : x
  2. Step 2: Convert to fraction form
    1,200.52/1,657.76 = 923.50/x
  3. Step 3: Cross multiply
    1,200.52x = 1,657.76 × 923.50
  4. Step 4: Simplify right side
    1,200.52x = 1,530,941.36
  5. Step 5: Solve for x
    x = 1,530,941.36/1,200.52
  6. Step 6: Final answer
    x = 1,275.23

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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.