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Finding the Fourth Proportional to 1,325.25, 1,988.46 and 675.63

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Solution

The fourth proportional to 1,325.25, 1,988.46 and 675.63 is: 1,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.25 : 1,988.46 = 675.63 : x
  2. Step 2: Convert to fraction form
    1,325.25/1,988.46 = 675.63/x
  3. Step 3: Cross multiply
    1,325.25x = 1,988.46 × 675.63
  4. Step 4: Simplify right side
    1,325.25x = 1,343,463.23
  5. Step 5: Solve for x
    x = 1,343,463.23/1,325.25
  6. Step 6: Final answer
    x = 1,013.74

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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.