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Finding the Fourth Proportional to 555, 834.40 and 509.46

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Solution

The fourth proportional to 555, 834.40 and 509.46 is: 765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    555 : 834.40 = 509.46 : x
  2. Step 2: Convert to fraction form
    555/834.40 = 509.46/x
  3. Step 3: Cross multiply
    555x = 834.40 × 509.46
  4. Step 4: Simplify right side
    555x = 425,093.42
  5. Step 5: Solve for x
    x = 425,093.42/555
  6. Step 6: Final answer
    x = 765.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.