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Finding the Fourth Proportional to 530.40, 730.79 and 355.44

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Solution

The fourth proportional to 530.40, 730.79 and 355.44 is: 489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 730.79 = 355.44 : x
  2. Step 2: Convert to fraction form
    530.40/730.79 = 355.44/x
  3. Step 3: Cross multiply
    530.40x = 730.79 × 355.44
  4. Step 4: Simplify right side
    530.40x = 259,752.89
  5. Step 5: Solve for x
    x = 259,752.89/530.40
  6. Step 6: Final answer
    x = 489.73

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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.