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Finding the Fourth Proportional to 535.80, 739.19 and 424.83

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Solution

The fourth proportional to 535.80, 739.19 and 424.83 is: 586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 739.19 = 424.83 : x
  2. Step 2: Convert to fraction form
    535.80/739.19 = 424.83/x
  3. Step 3: Cross multiply
    535.80x = 739.19 × 424.83
  4. Step 4: Simplify right side
    535.80x = 314,030.09
  5. Step 5: Solve for x
    x = 314,030.09/535.80
  6. Step 6: Final answer
    x = 586.10

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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.