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Finding the Fourth Proportional to 520.01, 780.24 and 303.58

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Solution

The fourth proportional to 520.01, 780.24 and 303.58 is: 455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.01 : 780.24 = 303.58 : x
  2. Step 2: Convert to fraction form
    520.01/780.24 = 303.58/x
  3. Step 3: Cross multiply
    520.01x = 780.24 × 303.58
  4. Step 4: Simplify right side
    520.01x = 236,867.01
  5. Step 5: Solve for x
    x = 236,867.01/520.01
  6. Step 6: Final answer
    x = 455.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.