Home / 1,154.49-1,731.45-461.67

Finding the Fourth Proportional to 1,154.49, 1,731.45 and 461.67

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Solution

The fourth proportional to 1,154.49, 1,731.45 and 461.67 is: 692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.49 : 1,731.45 = 461.67 : x
  2. Step 2: Convert to fraction form
    1,154.49/1,731.45 = 461.67/x
  3. Step 3: Cross multiply
    1,154.49x = 1,731.45 × 461.67
  4. Step 4: Simplify right side
    1,154.49x = 799,358.52
  5. Step 5: Solve for x
    x = 799,358.52/1,154.49
  6. Step 6: Final answer
    x = 692.39

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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.