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Finding the Fourth Proportional to 452.40, 675.75 and 403.80

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Solution

The fourth proportional to 452.40, 675.75 and 403.80 is: 603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.40 : 675.75 = 403.80 : x
  2. Step 2: Convert to fraction form
    452.40/675.75 = 403.80/x
  3. Step 3: Cross multiply
    452.40x = 675.75 × 403.80
  4. Step 4: Simplify right side
    452.40x = 272,867.85
  5. Step 5: Solve for x
    x = 272,867.85/452.40
  6. Step 6: Final answer
    x = 603.16

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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.