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Finding the Fourth Proportional to 1,253.65, 1,729.95 and 694.12

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Solution

The fourth proportional to 1,253.65, 1,729.95 and 694.12 is: 957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.65 : 1,729.95 = 694.12 : x
  2. Step 2: Convert to fraction form
    1,253.65/1,729.95 = 694.12/x
  3. Step 3: Cross multiply
    1,253.65x = 1,729.95 × 694.12
  4. Step 4: Simplify right side
    1,253.65x = 1,200,792.89
  5. Step 5: Solve for x
    x = 1,200,792.89/1,253.65
  6. Step 6: Final answer
    x = 957.84

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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.