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Finding the Fourth Proportional to 482.14, 720.47 and 471.21

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Solution

The fourth proportional to 482.14, 720.47 and 471.21 is: 704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 720.47 = 471.21 : x
  2. Step 2: Convert to fraction form
    482.14/720.47 = 471.21/x
  3. Step 3: Cross multiply
    482.14x = 720.47 × 471.21
  4. Step 4: Simplify right side
    482.14x = 339,492.67
  5. Step 5: Solve for x
    x = 339,492.67/482.14
  6. Step 6: Final answer
    x = 704.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.