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Finding the Fourth Proportional to 934.10, 1,288.36 and 685.34

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Solution

The fourth proportional to 934.10, 1,288.36 and 685.34 is: 945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.10 : 1,288.36 = 685.34 : x
  2. Step 2: Convert to fraction form
    934.10/1,288.36 = 685.34/x
  3. Step 3: Cross multiply
    934.10x = 1,288.36 × 685.34
  4. Step 4: Simplify right side
    934.10x = 882,964.64
  5. Step 5: Solve for x
    x = 882,964.64/934.10
  6. Step 6: Final answer
    x = 945.26

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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.