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Finding the Fourth Proportional to 531.84, 798.72 and 403.20

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Solution

The fourth proportional to 531.84, 798.72 and 403.20 is: 605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 798.72 = 403.20 : x
  2. Step 2: Convert to fraction form
    531.84/798.72 = 403.20/x
  3. Step 3: Cross multiply
    531.84x = 798.72 × 403.20
  4. Step 4: Simplify right side
    531.84x = 322,043.90
  5. Step 5: Solve for x
    x = 322,043.90/531.84
  6. Step 6: Final answer
    x = 605.53

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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.