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Finding the Fourth Proportional to 950.19, 1,311.43 and 702.23

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Solution

The fourth proportional to 950.19, 1,311.43 and 702.23 is: 969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.19 : 1,311.43 = 702.23 : x
  2. Step 2: Convert to fraction form
    950.19/1,311.43 = 702.23/x
  3. Step 3: Cross multiply
    950.19x = 1,311.43 × 702.23
  4. Step 4: Simplify right side
    950.19x = 920,929.65
  5. Step 5: Solve for x
    x = 920,929.65/950.19
  6. Step 6: Final answer
    x = 969.20

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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.