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Finding the Fourth Proportional to 470.19, 701.86 and 431.67

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Solution

The fourth proportional to 470.19, 701.86 and 431.67 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 701.86 = 431.67 : x
  2. Step 2: Convert to fraction form
    470.19/701.86 = 431.67/x
  3. Step 3: Cross multiply
    470.19x = 701.86 × 431.67
  4. Step 4: Simplify right side
    470.19x = 302,970.83
  5. Step 5: Solve for x
    x = 302,970.83/470.19
  6. Step 6: Final answer
    x = 644.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.