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Finding the Fourth Proportional to 514.02, 710.06 and 348.96

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Solution

The fourth proportional to 514.02, 710.06 and 348.96 is: 482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 710.06 = 348.96 : x
  2. Step 2: Convert to fraction form
    514.02/710.06 = 348.96/x
  3. Step 3: Cross multiply
    514.02x = 710.06 × 348.96
  4. Step 4: Simplify right side
    514.02x = 247,782.54
  5. Step 5: Solve for x
    x = 247,782.54/514.02
  6. Step 6: Final answer
    x = 482.05

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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.