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Finding the Fourth Proportional to 607.83, 836.96 and 509.41

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Solution

The fourth proportional to 607.83, 836.96 and 509.41 is: 701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.83 : 836.96 = 509.41 : x
  2. Step 2: Convert to fraction form
    607.83/836.96 = 509.41/x
  3. Step 3: Cross multiply
    607.83x = 836.96 × 509.41
  4. Step 4: Simplify right side
    607.83x = 426,357.16
  5. Step 5: Solve for x
    x = 426,357.16/607.83
  6. Step 6: Final answer
    x = 701.45

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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.