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Finding the Fourth Proportional to 438.98, 655.95 and 383.40

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Solution

The fourth proportional to 438.98, 655.95 and 383.40 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 655.95 = 383.40 : x
  2. Step 2: Convert to fraction form
    438.98/655.95 = 383.40/x
  3. Step 3: Cross multiply
    438.98x = 655.95 × 383.40
  4. Step 4: Simplify right side
    438.98x = 251,491.23
  5. Step 5: Solve for x
    x = 251,491.23/438.98
  6. Step 6: Final answer
    x = 572.91

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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.