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Finding the Fourth Proportional to 581.08, 801.84 and 345.04

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Solution

The fourth proportional to 581.08, 801.84 and 345.04 is: 476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 801.84 = 345.04 : x
  2. Step 2: Convert to fraction form
    581.08/801.84 = 345.04/x
  3. Step 3: Cross multiply
    581.08x = 801.84 × 345.04
  4. Step 4: Simplify right side
    581.08x = 276,666.87
  5. Step 5: Solve for x
    x = 276,666.87/581.08
  6. Step 6: Final answer
    x = 476.13

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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.