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Finding the Fourth Proportional to 440.47, 607.76 and 285.13

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Solution

The fourth proportional to 440.47, 607.76 and 285.13 is: 393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.47 : 607.76 = 285.13 : x
  2. Step 2: Convert to fraction form
    440.47/607.76 = 285.13/x
  3. Step 3: Cross multiply
    440.47x = 607.76 × 285.13
  4. Step 4: Simplify right side
    440.47x = 173,287.57
  5. Step 5: Solve for x
    x = 173,287.57/440.47
  6. Step 6: Final answer
    x = 393.42

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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.