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Finding the Fourth Proportional to 1,256.45, 1,732.10 and 957.69

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Solution

The fourth proportional to 1,256.45, 1,732.10 and 957.69 is: 1,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.45 : 1,732.10 = 957.69 : x
  2. Step 2: Convert to fraction form
    1,256.45/1,732.10 = 957.69/x
  3. Step 3: Cross multiply
    1,256.45x = 1,732.10 × 957.69
  4. Step 4: Simplify right side
    1,256.45x = 1,658,810.06
  5. Step 5: Solve for x
    x = 1,658,810.06/1,256.45
  6. Step 6: Final answer
    x = 1,320.24

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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.