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Finding the Fourth Proportional to 581.04, 801.76 and 374

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Solution

The fourth proportional to 581.04, 801.76 and 374 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 801.76 = 374 : x
  2. Step 2: Convert to fraction form
    581.04/801.76 = 374/x
  3. Step 3: Cross multiply
    581.04x = 801.76 × 374
  4. Step 4: Simplify right side
    581.04x = 299,858.24
  5. Step 5: Solve for x
    x = 299,858.24/581.04
  6. Step 6: Final answer
    x = 516.07

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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.