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Finding the Fourth Proportional to 607.80, 838.29 and 514.80

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Solution

The fourth proportional to 607.80, 838.29 and 514.80 is: 710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.80 : 838.29 = 514.80 : x
  2. Step 2: Convert to fraction form
    607.80/838.29 = 514.80/x
  3. Step 3: Cross multiply
    607.80x = 838.29 × 514.80
  4. Step 4: Simplify right side
    607.80x = 431,551.69
  5. Step 5: Solve for x
    x = 431,551.69/607.80
  6. Step 6: Final answer
    x = 710.02

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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.