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Finding the Fourth Proportional to 470.80, 705.28 and 307.99

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Solution

The fourth proportional to 470.80, 705.28 and 307.99 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 705.28 = 307.99 : x
  2. Step 2: Convert to fraction form
    470.80/705.28 = 307.99/x
  3. Step 3: Cross multiply
    470.80x = 705.28 × 307.99
  4. Step 4: Simplify right side
    470.80x = 217,219.19
  5. Step 5: Solve for x
    x = 217,219.19/470.80
  6. Step 6: Final answer
    x = 461.38

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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.