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Finding the Fourth Proportional to 555.40, 830.94 and 297.64

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Solution

The fourth proportional to 555.40, 830.94 and 297.64 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.40 : 830.94 = 297.64 : x
  2. Step 2: Convert to fraction form
    555.40/830.94 = 297.64/x
  3. Step 3: Cross multiply
    555.40x = 830.94 × 297.64
  4. Step 4: Simplify right side
    555.40x = 247,320.98
  5. Step 5: Solve for x
    x = 247,320.98/555.40
  6. Step 6: Final answer
    x = 445.30

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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.