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Finding the Fourth Proportional to 1,031.88, 1,548.30 and 723

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Solution

The fourth proportional to 1,031.88, 1,548.30 and 723 is: 1,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.88 : 1,548.30 = 723 : x
  2. Step 2: Convert to fraction form
    1,031.88/1,548.30 = 723/x
  3. Step 3: Cross multiply
    1,031.88x = 1,548.30 × 723
  4. Step 4: Simplify right side
    1,031.88x = 1,119,420.90
  5. Step 5: Solve for x
    x = 1,119,420.90/1,031.88
  6. Step 6: Final answer
    x = 1,084.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.