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Finding the Fourth Proportional to 555.02, 830.55 and 349.70

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Solution

The fourth proportional to 555.02, 830.55 and 349.70 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.02 : 830.55 = 349.70 : x
  2. Step 2: Convert to fraction form
    555.02/830.55 = 349.70/x
  3. Step 3: Cross multiply
    555.02x = 830.55 × 349.70
  4. Step 4: Simplify right side
    555.02x = 290,443.34
  5. Step 5: Solve for x
    x = 290,443.34/555.02
  6. Step 6: Final answer
    x = 523.30

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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.