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Finding the Fourth Proportional to 1,343.84, 1,852.20 and 945.63

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Solution

The fourth proportional to 1,343.84, 1,852.20 and 945.63 is: 1,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.84 : 1,852.20 = 945.63 : x
  2. Step 2: Convert to fraction form
    1,343.84/1,852.20 = 945.63/x
  3. Step 3: Cross multiply
    1,343.84x = 1,852.20 × 945.63
  4. Step 4: Simplify right side
    1,343.84x = 1,751,495.89
  5. Step 5: Solve for x
    x = 1,751,495.89/1,343.84
  6. Step 6: Final answer
    x = 1,303.36

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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.