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Finding the Fourth Proportional to 934.50, 1,290.42 and 702.84

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Solution

The fourth proportional to 934.50, 1,290.42 and 702.84 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.50 : 1,290.42 = 702.84 : x
  2. Step 2: Convert to fraction form
    934.50/1,290.42 = 702.84/x
  3. Step 3: Cross multiply
    934.50x = 1,290.42 × 702.84
  4. Step 4: Simplify right side
    934.50x = 906,958.79
  5. Step 5: Solve for x
    x = 906,958.79/934.50
  6. Step 6: Final answer
    x = 970.53

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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.