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Finding the Fourth Proportional to 1,155.06, 1,595.73 and 757.67

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Solution

The fourth proportional to 1,155.06, 1,595.73 and 757.67 is: 1,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.06 : 1,595.73 = 757.67 : x
  2. Step 2: Convert to fraction form
    1,155.06/1,595.73 = 757.67/x
  3. Step 3: Cross multiply
    1,155.06x = 1,595.73 × 757.67
  4. Step 4: Simplify right side
    1,155.06x = 1,209,024.98
  5. Step 5: Solve for x
    x = 1,209,024.98/1,155.06
  6. Step 6: Final answer
    x = 1,046.72

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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.