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Finding the Fourth Proportional to 456.86, 631.10 and 440.00

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Solution

The fourth proportional to 456.86, 631.10 and 440.00 is: 607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 631.10 = 440.00 : x
  2. Step 2: Convert to fraction form
    456.86/631.10 = 440.00/x
  3. Step 3: Cross multiply
    456.86x = 631.10 × 440.00
  4. Step 4: Simplify right side
    456.86x = 277,683.38
  5. Step 5: Solve for x
    x = 277,683.38/456.86
  6. Step 6: Final answer
    x = 607.81

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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.