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Finding the Fourth Proportional to 653.04, 899.64 and 456.30

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Solution

The fourth proportional to 653.04, 899.64 and 456.30 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 899.64 = 456.30 : x
  2. Step 2: Convert to fraction form
    653.04/899.64 = 456.30/x
  3. Step 3: Cross multiply
    653.04x = 899.64 × 456.30
  4. Step 4: Simplify right side
    653.04x = 410,505.73
  5. Step 5: Solve for x
    x = 410,505.73/653.04
  6. Step 6: Final answer
    x = 628.61

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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.