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Finding the Fourth Proportional to 1,312.99, 1,801.07 and 1,285.65

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Solution

The fourth proportional to 1,312.99, 1,801.07 and 1,285.65 is: 1,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.99 : 1,801.07 = 1,285.65 : x
  2. Step 2: Convert to fraction form
    1,312.99/1,801.07 = 1,285.65/x
  3. Step 3: Cross multiply
    1,312.99x = 1,801.07 × 1,285.65
  4. Step 4: Simplify right side
    1,312.99x = 2,315,539.22
  5. Step 5: Solve for x
    x = 2,315,539.22/1,312.99
  6. Step 6: Final answer
    x = 1,763.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.