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Finding the Fourth Proportional to 655.64, 903.76 and 468.80

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Solution

The fourth proportional to 655.64, 903.76 and 468.80 is: 646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.64 : 903.76 = 468.80 : x
  2. Step 2: Convert to fraction form
    655.64/903.76 = 468.80/x
  3. Step 3: Cross multiply
    655.64x = 903.76 × 468.80
  4. Step 4: Simplify right side
    655.64x = 423,682.69
  5. Step 5: Solve for x
    x = 423,682.69/655.64
  6. Step 6: Final answer
    x = 646.21

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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.