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Finding the Fourth Proportional to 651.52, 899.04 and 455.68

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Solution

The fourth proportional to 651.52, 899.04 and 455.68 is: 628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.52 : 899.04 = 455.68 : x
  2. Step 2: Convert to fraction form
    651.52/899.04 = 455.68/x
  3. Step 3: Cross multiply
    651.52x = 899.04 × 455.68
  4. Step 4: Simplify right side
    651.52x = 409,674.55
  5. Step 5: Solve for x
    x = 409,674.55/651.52
  6. Step 6: Final answer
    x = 628.80

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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.