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Finding the Fourth Proportional to 482.90, 720.23 and 470.21

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Solution

The fourth proportional to 482.90, 720.23 and 470.21 is: 701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.90 : 720.23 = 470.21 : x
  2. Step 2: Convert to fraction form
    482.90/720.23 = 470.21/x
  3. Step 3: Cross multiply
    482.90x = 720.23 × 470.21
  4. Step 4: Simplify right side
    482.90x = 338,653.40
  5. Step 5: Solve for x
    x = 338,653.40/482.90
  6. Step 6: Final answer
    x = 701.30

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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.