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Finding the Fourth Proportional to 931, 1,396.52 and 520.08

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Solution

The fourth proportional to 931, 1,396.52 and 520.08 is: 780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    931 : 1,396.52 = 520.08 : x
  2. Step 2: Convert to fraction form
    931/1,396.52 = 520.08/x
  3. Step 3: Cross multiply
    931x = 1,396.52 × 520.08
  4. Step 4: Simplify right side
    931x = 726,302.12
  5. Step 5: Solve for x
    x = 726,302.12/931
  6. Step 6: Final answer
    x = 780.13

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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.