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Finding the Fourth Proportional to 476.48, 653.44 and 451.52

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Solution

The fourth proportional to 476.48, 653.44 and 451.52 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 653.44 = 451.52 : x
  2. Step 2: Convert to fraction form
    476.48/653.44 = 451.52/x
  3. Step 3: Cross multiply
    476.48x = 653.44 × 451.52
  4. Step 4: Simplify right side
    476.48x = 295,041.23
  5. Step 5: Solve for x
    x = 295,041.23/476.48
  6. Step 6: Final answer
    x = 619.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.