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Finding the Fourth Proportional to 443.84, 662.40 and 432.32

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Solution

The fourth proportional to 443.84, 662.40 and 432.32 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.84 : 662.40 = 432.32 : x
  2. Step 2: Convert to fraction form
    443.84/662.40 = 432.32/x
  3. Step 3: Cross multiply
    443.84x = 662.40 × 432.32
  4. Step 4: Simplify right side
    443.84x = 286,368.77
  5. Step 5: Solve for x
    x = 286,368.77/443.84
  6. Step 6: Final answer
    x = 645.21

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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.