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Finding the Fourth Proportional to 580.23, 870.81 and 405.78

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Solution

The fourth proportional to 580.23, 870.81 and 405.78 is: 609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.23 : 870.81 = 405.78 : x
  2. Step 2: Convert to fraction form
    580.23/870.81 = 405.78/x
  3. Step 3: Cross multiply
    580.23x = 870.81 × 405.78
  4. Step 4: Simplify right side
    580.23x = 353,357.28
  5. Step 5: Solve for x
    x = 353,357.28/580.23
  6. Step 6: Final answer
    x = 609.00

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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.