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Finding the Fourth Proportional to 647.86, 894.36 and 606.42

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Solution

The fourth proportional to 647.86, 894.36 and 606.42 is: 837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 894.36 = 606.42 : x
  2. Step 2: Convert to fraction form
    647.86/894.36 = 606.42/x
  3. Step 3: Cross multiply
    647.86x = 894.36 × 606.42
  4. Step 4: Simplify right side
    647.86x = 542,357.79
  5. Step 5: Solve for x
    x = 542,357.79/647.86
  6. Step 6: Final answer
    x = 837.15

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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.