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Finding the Fourth Proportional to 437.94, 651.47 and 433.54

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Solution

The fourth proportional to 437.94, 651.47 and 433.54 is: 644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.94 : 651.47 = 433.54 : x
  2. Step 2: Convert to fraction form
    437.94/651.47 = 433.54/x
  3. Step 3: Cross multiply
    437.94x = 651.47 × 433.54
  4. Step 4: Simplify right side
    437.94x = 282,432.88
  5. Step 5: Solve for x
    x = 282,432.88/437.94
  6. Step 6: Final answer
    x = 644.92

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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.