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Finding the Fourth Proportional to 1,259.49, 1,890.45 and 964.23

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Solution

The fourth proportional to 1,259.49, 1,890.45 and 964.23 is: 1,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.49 : 1,890.45 = 964.23 : x
  2. Step 2: Convert to fraction form
    1,259.49/1,890.45 = 964.23/x
  3. Step 3: Cross multiply
    1,259.49x = 1,890.45 × 964.23
  4. Step 4: Simplify right side
    1,259.49x = 1,822,828.60
  5. Step 5: Solve for x
    x = 1,822,828.60/1,259.49
  6. Step 6: Final answer
    x = 1,447.28

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1.5x scale

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.