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Finding the Fourth Proportional to 438.68, 652.64 and 412.76

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Solution

The fourth proportional to 438.68, 652.64 and 412.76 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.68 : 652.64 = 412.76 : x
  2. Step 2: Convert to fraction form
    438.68/652.64 = 412.76/x
  3. Step 3: Cross multiply
    438.68x = 652.64 × 412.76
  4. Step 4: Simplify right side
    438.68x = 269,383.69
  5. Step 5: Solve for x
    x = 269,383.69/438.68
  6. Step 6: Final answer
    x = 614.08

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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.