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Finding the Fourth Proportional to 585.06, 804.95 and 444.35

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Solution

The fourth proportional to 585.06, 804.95 and 444.35 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 804.95 = 444.35 : x
  2. Step 2: Convert to fraction form
    585.06/804.95 = 444.35/x
  3. Step 3: Cross multiply
    585.06x = 804.95 × 444.35
  4. Step 4: Simplify right side
    585.06x = 357,683.49
  5. Step 5: Solve for x
    x = 357,683.49/585.06
  6. Step 6: Final answer
    x = 611.37

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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.