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Finding the Fourth Proportional to 1,441.92, 1,988.28 and 975.36

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Solution

The fourth proportional to 1,441.92, 1,988.28 and 975.36 is: 1,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.92 : 1,988.28 = 975.36 : x
  2. Step 2: Convert to fraction form
    1,441.92/1,988.28 = 975.36/x
  3. Step 3: Cross multiply
    1,441.92x = 1,988.28 × 975.36
  4. Step 4: Simplify right side
    1,441.92x = 1,939,288.78
  5. Step 5: Solve for x
    x = 1,939,288.78/1,441.92
  6. Step 6: Final answer
    x = 1,344.94

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1.5x scale

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.