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Finding the Fourth Proportional to 482.40, 653.40 and 482.40

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Solution

The fourth proportional to 482.40, 653.40 and 482.40 is: 653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.40 : 653.40 = 482.40 : x
  2. Step 2: Convert to fraction form
    482.40/653.40 = 482.40/x
  3. Step 3: Cross multiply
    482.40x = 653.40 × 482.40
  4. Step 4: Simplify right side
    482.40x = 315,200.16
  5. Step 5: Solve for x
    x = 315,200.16/482.40
  6. Step 6: Final answer
    x = 653.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.