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Finding the Fourth Proportional to 437.84, 653.35 and 399.03

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Solution

The fourth proportional to 437.84, 653.35 and 399.03 is: 595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 653.35 = 399.03 : x
  2. Step 2: Convert to fraction form
    437.84/653.35 = 399.03/x
  3. Step 3: Cross multiply
    437.84x = 653.35 × 399.03
  4. Step 4: Simplify right side
    437.84x = 260,706.25
  5. Step 5: Solve for x
    x = 260,706.25/437.84
  6. Step 6: Final answer
    x = 595.44

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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.