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Finding the Fourth Proportional to 653.43, 902.90 and 486.06

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Solution

The fourth proportional to 653.43, 902.90 and 486.06 is: 671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.43 : 902.90 = 486.06 : x
  2. Step 2: Convert to fraction form
    653.43/902.90 = 486.06/x
  3. Step 3: Cross multiply
    653.43x = 902.90 × 486.06
  4. Step 4: Simplify right side
    653.43x = 438,864.79
  5. Step 5: Solve for x
    x = 438,864.79/653.43
  6. Step 6: Final answer
    x = 671.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.