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Finding the Fourth Proportional to 514.96, 710.73 and 390.42

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Solution

The fourth proportional to 514.96, 710.73 and 390.42 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 710.73 = 390.42 : x
  2. Step 2: Convert to fraction form
    514.96/710.73 = 390.42/x
  3. Step 3: Cross multiply
    514.96x = 710.73 × 390.42
  4. Step 4: Simplify right side
    514.96x = 277,477.70
  5. Step 5: Solve for x
    x = 277,477.70/514.96
  6. Step 6: Final answer
    x = 538.83

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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.