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Finding the Fourth Proportional to 581.13, 870.77 and 464.97

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Solution

The fourth proportional to 581.13, 870.77 and 464.97 is: 696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 870.77 = 464.97 : x
  2. Step 2: Convert to fraction form
    581.13/870.77 = 464.97/x
  3. Step 3: Cross multiply
    581.13x = 870.77 × 464.97
  4. Step 4: Simplify right side
    581.13x = 404,881.93
  5. Step 5: Solve for x
    x = 404,881.93/581.13
  6. Step 6: Final answer
    x = 696.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.