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Finding the Fourth Proportional to 1,113.85, 1,537.65 and 741.45

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Solution

The fourth proportional to 1,113.85, 1,537.65 and 741.45 is: 1,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.85 : 1,537.65 = 741.45 : x
  2. Step 2: Convert to fraction form
    1,113.85/1,537.65 = 741.45/x
  3. Step 3: Cross multiply
    1,113.85x = 1,537.65 × 741.45
  4. Step 4: Simplify right side
    1,113.85x = 1,140,090.59
  5. Step 5: Solve for x
    x = 1,140,090.59/1,113.85
  6. Step 6: Final answer
    x = 1,023.56

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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.