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Finding the Fourth Proportional to 614.07, 847.76 and 467.06

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Solution

The fourth proportional to 614.07, 847.76 and 467.06 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 847.76 = 467.06 : x
  2. Step 2: Convert to fraction form
    614.07/847.76 = 467.06/x
  3. Step 3: Cross multiply
    614.07x = 847.76 × 467.06
  4. Step 4: Simplify right side
    614.07x = 395,948.21
  5. Step 5: Solve for x
    x = 395,948.21/614.07
  6. Step 6: Final answer
    x = 644.79

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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.