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Finding the Fourth Proportional to 1,140.18, 1,572.40 and 719.81

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Solution

The fourth proportional to 1,140.18, 1,572.40 and 719.81 is: 992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,572.40 = 719.81 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,572.40 = 719.81/x
  3. Step 3: Cross multiply
    1,140.18x = 1,572.40 × 719.81
  4. Step 4: Simplify right side
    1,140.18x = 1,131,819.58
  5. Step 5: Solve for x
    x = 1,131,819.58/1,140.18
  6. Step 6: Final answer
    x = 992.67

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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.