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Finding the Fourth Proportional to 514.80, 710.64 and 340.38

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Solution

The fourth proportional to 514.80, 710.64 and 340.38 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.80 : 710.64 = 340.38 : x
  2. Step 2: Convert to fraction form
    514.80/710.64 = 340.38/x
  3. Step 3: Cross multiply
    514.80x = 710.64 × 340.38
  4. Step 4: Simplify right side
    514.80x = 241,887.64
  5. Step 5: Solve for x
    x = 241,887.64/514.80
  6. Step 6: Final answer
    x = 469.87

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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.