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Finding the Fourth Proportional to 1,690.50, 2,332.80 and 944.50

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Solution

The fourth proportional to 1,690.50, 2,332.80 and 944.50 is: 1,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.50 : 2,332.80 = 944.50 : x
  2. Step 2: Convert to fraction form
    1,690.50/2,332.80 = 944.50/x
  3. Step 3: Cross multiply
    1,690.50x = 2,332.80 × 944.50
  4. Step 4: Simplify right side
    1,690.50x = 2,203,329.60
  5. Step 5: Solve for x
    x = 2,203,329.60/1,690.50
  6. Step 6: Final answer
    x = 1,303.36

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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.