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Finding the Fourth Proportional to 514.76, 710.34 and 305.00

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Solution

The fourth proportional to 514.76, 710.34 and 305.00 is: 420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.76 : 710.34 = 305.00 : x
  2. Step 2: Convert to fraction form
    514.76/710.34 = 305.00/x
  3. Step 3: Cross multiply
    514.76x = 710.34 × 305.00
  4. Step 4: Simplify right side
    514.76x = 216,651.67
  5. Step 5: Solve for x
    x = 216,651.67/514.76
  6. Step 6: Final answer
    x = 420.88

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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.