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Finding the Fourth Proportional to 1,301.48, 1,953.05 and 685.63

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Solution

The fourth proportional to 1,301.48, 1,953.05 and 685.63 is: 1,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.48 : 1,953.05 = 685.63 : x
  2. Step 2: Convert to fraction form
    1,301.48/1,953.05 = 685.63/x
  3. Step 3: Cross multiply
    1,301.48x = 1,953.05 × 685.63
  4. Step 4: Simplify right side
    1,301.48x = 1,339,068.68
  5. Step 5: Solve for x
    x = 1,339,068.68/1,301.48
  6. Step 6: Final answer
    x = 1,028.88

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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.