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Finding the Fourth Proportional to 1,111.65, 1,666.67 and 745.67

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Solution

The fourth proportional to 1,111.65, 1,666.67 and 745.67 is: 1,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.65 : 1,666.67 = 745.67 : x
  2. Step 2: Convert to fraction form
    1,111.65/1,666.67 = 745.67/x
  3. Step 3: Cross multiply
    1,111.65x = 1,666.67 × 745.67
  4. Step 4: Simplify right side
    1,111.65x = 1,242,773.76
  5. Step 5: Solve for x
    x = 1,242,773.76/1,111.65
  6. Step 6: Final answer
    x = 1,117.95

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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.