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Finding the Fourth Proportional to 437.51, 652.58 and 424.54

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Solution

The fourth proportional to 437.51, 652.58 and 424.54 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.51 : 652.58 = 424.54 : x
  2. Step 2: Convert to fraction form
    437.51/652.58 = 424.54/x
  3. Step 3: Cross multiply
    437.51x = 652.58 × 424.54
  4. Step 4: Simplify right side
    437.51x = 277,046.60
  5. Step 5: Solve for x
    x = 277,046.60/437.51
  6. Step 6: Final answer
    x = 633.23

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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.