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Finding the Fourth Proportional to 1,381.06, 2,071.50 and 456.52

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Solution

The fourth proportional to 1,381.06, 2,071.50 and 456.52 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.06 : 2,071.50 = 456.52 : x
  2. Step 2: Convert to fraction form
    1,381.06/2,071.50 = 456.52/x
  3. Step 3: Cross multiply
    1,381.06x = 2,071.50 × 456.52
  4. Step 4: Simplify right side
    1,381.06x = 945,681.18
  5. Step 5: Solve for x
    x = 945,681.18/1,381.06
  6. Step 6: Final answer
    x = 684.75

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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.