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Finding the Fourth Proportional to 531.83, 798.44 and 410.19

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Solution

The fourth proportional to 531.83, 798.44 and 410.19 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.83 : 798.44 = 410.19 : x
  2. Step 2: Convert to fraction form
    531.83/798.44 = 410.19/x
  3. Step 3: Cross multiply
    531.83x = 798.44 × 410.19
  4. Step 4: Simplify right side
    531.83x = 327,510.05
  5. Step 5: Solve for x
    x = 327,510.05/531.83
  6. Step 6: Final answer
    x = 615.82

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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.