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Finding the Fourth Proportional to 653.63, 902.46 and 457.40

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Solution

The fourth proportional to 653.63, 902.46 and 457.40 is: 631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 902.46 = 457.40 : x
  2. Step 2: Convert to fraction form
    653.63/902.46 = 457.40/x
  3. Step 3: Cross multiply
    653.63x = 902.46 × 457.40
  4. Step 4: Simplify right side
    653.63x = 412,786.60
  5. Step 5: Solve for x
    x = 412,786.60/653.63
  6. Step 6: Final answer
    x = 631.53

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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.