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Finding the Fourth Proportional to 403.80, 607.05 and 344.40

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Solution

The fourth proportional to 403.80, 607.05 and 344.40 is: 517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 607.05 = 344.40 : x
  2. Step 2: Convert to fraction form
    403.80/607.05 = 344.40/x
  3. Step 3: Cross multiply
    403.80x = 607.05 × 344.40
  4. Step 4: Simplify right side
    403.80x = 209,068.02
  5. Step 5: Solve for x
    x = 209,068.02/403.80
  6. Step 6: Final answer
    x = 517.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.