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Finding the Fourth Proportional to 532.58, 734.97 and 311.65

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Solution

The fourth proportional to 532.58, 734.97 and 311.65 is: 430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 734.97 = 311.65 : x
  2. Step 2: Convert to fraction form
    532.58/734.97 = 311.65/x
  3. Step 3: Cross multiply
    532.58x = 734.97 × 311.65
  4. Step 4: Simplify right side
    532.58x = 229,051.56
  5. Step 5: Solve for x
    x = 229,051.56/532.58
  6. Step 6: Final answer
    x = 430.08

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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.