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Finding the Fourth Proportional to 559.83, 839.97 and 340.52

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Solution

The fourth proportional to 559.83, 839.97 and 340.52 is: 510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 839.97 = 340.52 : x
  2. Step 2: Convert to fraction form
    559.83/839.97 = 340.52/x
  3. Step 3: Cross multiply
    559.83x = 839.97 × 340.52
  4. Step 4: Simplify right side
    559.83x = 286,022.38
  5. Step 5: Solve for x
    x = 286,022.38/559.83
  6. Step 6: Final answer
    x = 510.91

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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.