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Finding the Fourth Proportional to 607.86, 838.94 and 509.58

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Solution

The fourth proportional to 607.86, 838.94 and 509.58 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.86 : 838.94 = 509.58 : x
  2. Step 2: Convert to fraction form
    607.86/838.94 = 509.58/x
  3. Step 3: Cross multiply
    607.86x = 838.94 × 509.58
  4. Step 4: Simplify right side
    607.86x = 427,504.50
  5. Step 5: Solve for x
    x = 427,504.50/607.86
  6. Step 6: Final answer
    x = 703.29

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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.