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Finding the Fourth Proportional to 530.86, 797.40 and 325.54

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Solution

The fourth proportional to 530.86, 797.40 and 325.54 is: 488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.86 : 797.40 = 325.54 : x
  2. Step 2: Convert to fraction form
    530.86/797.40 = 325.54/x
  3. Step 3: Cross multiply
    530.86x = 797.40 × 325.54
  4. Step 4: Simplify right side
    530.86x = 259,585.60
  5. Step 5: Solve for x
    x = 259,585.60/530.86
  6. Step 6: Final answer
    x = 488.99

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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.