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Finding the Fourth Proportional to 581.81, 803.00 and 455.52

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Solution

The fourth proportional to 581.81, 803.00 and 455.52 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.81 : 803.00 = 455.52 : x
  2. Step 2: Convert to fraction form
    581.81/803.00 = 455.52/x
  3. Step 3: Cross multiply
    581.81x = 803.00 × 455.52
  4. Step 4: Simplify right side
    581.81x = 365,786.71
  5. Step 5: Solve for x
    x = 365,786.71/581.81
  6. Step 6: Final answer
    x = 628.71

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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.