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Finding the Fourth Proportional to 1,562.64, 2,342.68 and 1,258

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Solution

The fourth proportional to 1,562.64, 2,342.68 and 1,258 is: 1,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.64 : 2,342.68 = 1,258 : x
  2. Step 2: Convert to fraction form
    1,562.64/2,342.68 = 1,258/x
  3. Step 3: Cross multiply
    1,562.64x = 2,342.68 × 1,258
  4. Step 4: Simplify right side
    1,562.64x = 2,947,091.44
  5. Step 5: Solve for x
    x = 2,947,091.44/1,562.64
  6. Step 6: Final answer
    x = 1,885.97

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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.