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Finding the Fourth Proportional to 1,642.85, 2,465.00 and 862.67

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Solution

The fourth proportional to 1,642.85, 2,465.00 and 862.67 is: 1,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.85 : 2,465.00 = 862.67 : x
  2. Step 2: Convert to fraction form
    1,642.85/2,465.00 = 862.67/x
  3. Step 3: Cross multiply
    1,642.85x = 2,465.00 × 862.67
  4. Step 4: Simplify right side
    1,642.85x = 2,126,491.31
  5. Step 5: Solve for x
    x = 2,126,491.31/1,642.85
  6. Step 6: Final answer
    x = 1,294.39

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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.