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Finding the Fourth Proportional to 934.84, 1,393.16 and 906.69

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Solution

The fourth proportional to 934.84, 1,393.16 and 906.69 is: 1,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.84 : 1,393.16 = 906.69 : x
  2. Step 2: Convert to fraction form
    934.84/1,393.16 = 906.69/x
  3. Step 3: Cross multiply
    934.84x = 1,393.16 × 906.69
  4. Step 4: Simplify right side
    934.84x = 1,263,166.51
  5. Step 5: Solve for x
    x = 1,263,166.51/934.84
  6. Step 6: Final answer
    x = 1,351.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.