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Finding the Fourth Proportional to 1,157.70, 1,742.74 and 1,038.63

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Solution

The fourth proportional to 1,157.70, 1,742.74 and 1,038.63 is: 1,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.70 : 1,742.74 = 1,038.63 : x
  2. Step 2: Convert to fraction form
    1,157.70/1,742.74 = 1,038.63/x
  3. Step 3: Cross multiply
    1,157.70x = 1,742.74 × 1,038.63
  4. Step 4: Simplify right side
    1,157.70x = 1,810,062.05
  5. Step 5: Solve for x
    x = 1,810,062.05/1,157.70
  6. Step 6: Final answer
    x = 1,563.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.