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Finding the Fourth Proportional to 581.68, 801.90 and 395.08

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Solution

The fourth proportional to 581.68, 801.90 and 395.08 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 801.90 = 395.08 : x
  2. Step 2: Convert to fraction form
    581.68/801.90 = 395.08/x
  3. Step 3: Cross multiply
    581.68x = 801.90 × 395.08
  4. Step 4: Simplify right side
    581.68x = 316,814.65
  5. Step 5: Solve for x
    x = 316,814.65/581.68
  6. Step 6: Final answer
    x = 544.65

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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.