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Finding the Fourth Proportional to 934.90, 1,399.23 and 703.23

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Solution

The fourth proportional to 934.90, 1,399.23 and 703.23 is: 1,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.90 : 1,399.23 = 703.23 : x
  2. Step 2: Convert to fraction form
    934.90/1,399.23 = 703.23/x
  3. Step 3: Cross multiply
    934.90x = 1,399.23 × 703.23
  4. Step 4: Simplify right side
    934.90x = 983,980.51
  5. Step 5: Solve for x
    x = 983,980.51/934.90
  6. Step 6: Final answer
    x = 1,052.50

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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.