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Finding the Fourth Proportional to 470.89, 707.35 and 288.39

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Solution

The fourth proportional to 470.89, 707.35 and 288.39 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.89 : 707.35 = 288.39 : x
  2. Step 2: Convert to fraction form
    470.89/707.35 = 288.39/x
  3. Step 3: Cross multiply
    470.89x = 707.35 × 288.39
  4. Step 4: Simplify right side
    470.89x = 203,992.67
  5. Step 5: Solve for x
    x = 203,992.67/470.89
  6. Step 6: Final answer
    x = 433.21

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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.