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Finding the Fourth Proportional to 653.99, 902.54 and 457.43

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Solution

The fourth proportional to 653.99, 902.54 and 457.43 is: 631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.99 : 902.54 = 457.43 : x
  2. Step 2: Convert to fraction form
    653.99/902.54 = 457.43/x
  3. Step 3: Cross multiply
    653.99x = 902.54 × 457.43
  4. Step 4: Simplify right side
    653.99x = 412,845.50
  5. Step 5: Solve for x
    x = 412,845.50/653.99
  6. Step 6: Final answer
    x = 631.28

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1.5x scale

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.