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Finding the Fourth Proportional to 599.80, 898.26 and 531.40

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Solution

The fourth proportional to 599.80, 898.26 and 531.40 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 898.26 = 531.40 : x
  2. Step 2: Convert to fraction form
    599.80/898.26 = 531.40/x
  3. Step 3: Cross multiply
    599.80x = 898.26 × 531.40
  4. Step 4: Simplify right side
    599.80x = 477,335.36
  5. Step 5: Solve for x
    x = 477,335.36/599.80
  6. Step 6: Final answer
    x = 795.82

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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.