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Finding the Fourth Proportional to 655.51, 904.56 and 428.01

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Solution

The fourth proportional to 655.51, 904.56 and 428.01 is: 590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.51 : 904.56 = 428.01 : x
  2. Step 2: Convert to fraction form
    655.51/904.56 = 428.01/x
  3. Step 3: Cross multiply
    655.51x = 904.56 × 428.01
  4. Step 4: Simplify right side
    655.51x = 387,160.73
  5. Step 5: Solve for x
    x = 387,160.73/655.51
  6. Step 6: Final answer
    x = 590.63

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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.