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Finding the Fourth Proportional to 607.09, 836.80 and 410.53

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Solution

The fourth proportional to 607.09, 836.80 and 410.53 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.09 : 836.80 = 410.53 : x
  2. Step 2: Convert to fraction form
    607.09/836.80 = 410.53/x
  3. Step 3: Cross multiply
    607.09x = 836.80 × 410.53
  4. Step 4: Simplify right side
    607.09x = 343,531.50
  5. Step 5: Solve for x
    x = 343,531.50/607.09
  6. Step 6: Final answer
    x = 565.87

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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.