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Finding the Fourth Proportional to 532.65, 734.88 and 311.64

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Solution

The fourth proportional to 532.65, 734.88 and 311.64 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 734.88 = 311.64 : x
  2. Step 2: Convert to fraction form
    532.65/734.88 = 311.64/x
  3. Step 3: Cross multiply
    532.65x = 734.88 × 311.64
  4. Step 4: Simplify right side
    532.65x = 229,018.00
  5. Step 5: Solve for x
    x = 229,018.00/532.65
  6. Step 6: Final answer
    x = 429.96

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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.