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Finding the Fourth Proportional to 437.61, 652.72 and 412.23

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Solution

The fourth proportional to 437.61, 652.72 and 412.23 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.61 : 652.72 = 412.23 : x
  2. Step 2: Convert to fraction form
    437.61/652.72 = 412.23/x
  3. Step 3: Cross multiply
    437.61x = 652.72 × 412.23
  4. Step 4: Simplify right side
    437.61x = 269,070.77
  5. Step 5: Solve for x
    x = 269,070.77/437.61
  6. Step 6: Final answer
    x = 614.86

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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.