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Finding the Fourth Proportional to 581.04, 801.76 and 348.08

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Solution

The fourth proportional to 581.04, 801.76 and 348.08 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 801.76 = 348.08 : x
  2. Step 2: Convert to fraction form
    581.04/801.76 = 348.08/x
  3. Step 3: Cross multiply
    581.04x = 801.76 × 348.08
  4. Step 4: Simplify right side
    581.04x = 279,076.62
  5. Step 5: Solve for x
    x = 279,076.62/581.04
  6. Step 6: Final answer
    x = 480.31

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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.