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Finding the Fourth Proportional to 580.26, 870.69 and 444.18

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Solution

The fourth proportional to 580.26, 870.69 and 444.18 is: 666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 870.69 = 444.18 : x
  2. Step 2: Convert to fraction form
    580.26/870.69 = 444.18/x
  3. Step 3: Cross multiply
    580.26x = 870.69 × 444.18
  4. Step 4: Simplify right side
    580.26x = 386,743.08
  5. Step 5: Solve for x
    x = 386,743.08/580.26
  6. Step 6: Final answer
    x = 666.50

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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.