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Finding the Fourth Proportional to 1,323.57, 1,986.26 and 457.88

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Solution

The fourth proportional to 1,323.57, 1,986.26 and 457.88 is: 687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.57 : 1,986.26 = 457.88 : x
  2. Step 2: Convert to fraction form
    1,323.57/1,986.26 = 457.88/x
  3. Step 3: Cross multiply
    1,323.57x = 1,986.26 × 457.88
  4. Step 4: Simplify right side
    1,323.57x = 909,456.51
  5. Step 5: Solve for x
    x = 909,456.51/1,323.57
  6. Step 6: Final answer
    x = 687.12

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1.5x scale

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.