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Finding the Fourth Proportional to 581.00, 801.20 and 514.64

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Solution

The fourth proportional to 581.00, 801.20 and 514.64 is: 709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.00 : 801.20 = 514.64 : x
  2. Step 2: Convert to fraction form
    581.00/801.20 = 514.64/x
  3. Step 3: Cross multiply
    581.00x = 801.20 × 514.64
  4. Step 4: Simplify right side
    581.00x = 412,322.99
  5. Step 5: Solve for x
    x = 412,322.99/581.00
  6. Step 6: Final answer
    x = 709.68

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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.