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Finding the Fourth Proportional to 714.96, 1,072.44 and 460.08

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Solution

The fourth proportional to 714.96, 1,072.44 and 460.08 is: 690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.96 : 1,072.44 = 460.08 : x
  2. Step 2: Convert to fraction form
    714.96/1,072.44 = 460.08/x
  3. Step 3: Cross multiply
    714.96x = 1,072.44 × 460.08
  4. Step 4: Simplify right side
    714.96x = 493,408.20
  5. Step 5: Solve for x
    x = 493,408.20/714.96
  6. Step 6: Final answer
    x = 690.12

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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.