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Finding the Fourth Proportional to 1,325.14, 1,986.97 and 503.18

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Solution

The fourth proportional to 1,325.14, 1,986.97 and 503.18 is: 754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.14 : 1,986.97 = 503.18 : x
  2. Step 2: Convert to fraction form
    1,325.14/1,986.97 = 503.18/x
  3. Step 3: Cross multiply
    1,325.14x = 1,986.97 × 503.18
  4. Step 4: Simplify right side
    1,325.14x = 999,803.56
  5. Step 5: Solve for x
    x = 999,803.56/1,325.14
  6. Step 6: Final answer
    x = 754.49

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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.