Home / 1,037.61-1,427.18-977.67

Finding the Fourth Proportional to 1,037.61, 1,427.18 and 977.67

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Solution

The fourth proportional to 1,037.61, 1,427.18 and 977.67 is: 1,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.61 : 1,427.18 = 977.67 : x
  2. Step 2: Convert to fraction form
    1,037.61/1,427.18 = 977.67/x
  3. Step 3: Cross multiply
    1,037.61x = 1,427.18 × 977.67
  4. Step 4: Simplify right side
    1,037.61x = 1,395,306.18
  5. Step 5: Solve for x
    x = 1,395,306.18/1,037.61
  6. Step 6: Final answer
    x = 1,344.73

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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.