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Finding the Fourth Proportional to 1,506.70, 2,258.11 and 1,310.88

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Solution

The fourth proportional to 1,506.70, 2,258.11 and 1,310.88 is: 1,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.70 : 2,258.11 = 1,310.88 : x
  2. Step 2: Convert to fraction form
    1,506.70/2,258.11 = 1,310.88/x
  3. Step 3: Cross multiply
    1,506.70x = 2,258.11 × 1,310.88
  4. Step 4: Simplify right side
    1,506.70x = 2,960,111.24
  5. Step 5: Solve for x
    x = 2,960,111.24/1,506.70
  6. Step 6: Final answer
    x = 1,964.63

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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.