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Finding the Fourth Proportional to 581.68, 801.48 and 522.55

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Solution

The fourth proportional to 581.68, 801.48 and 522.55 is: 720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 801.48 = 522.55 : x
  2. Step 2: Convert to fraction form
    581.68/801.48 = 522.55/x
  3. Step 3: Cross multiply
    581.68x = 801.48 × 522.55
  4. Step 4: Simplify right side
    581.68x = 418,813.37
  5. Step 5: Solve for x
    x = 418,813.37/581.68
  6. Step 6: Final answer
    x = 720.01

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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.