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Finding the Fourth Proportional to 465.65, 696.71 and 291.50

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Solution

The fourth proportional to 465.65, 696.71 and 291.50 is: 436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.65 : 696.71 = 291.50 : x
  2. Step 2: Convert to fraction form
    465.65/696.71 = 291.50/x
  3. Step 3: Cross multiply
    465.65x = 696.71 × 291.50
  4. Step 4: Simplify right side
    465.65x = 203,086.02
  5. Step 5: Solve for x
    x = 203,086.02/465.65
  6. Step 6: Final answer
    x = 436.14

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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.