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Finding the Fourth Proportional to 931.14, 1,398.06 and 520.20

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Solution

The fourth proportional to 931.14, 1,398.06 and 520.20 is: 781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.14 : 1,398.06 = 520.20 : x
  2. Step 2: Convert to fraction form
    931.14/1,398.06 = 520.20/x
  3. Step 3: Cross multiply
    931.14x = 1,398.06 × 520.20
  4. Step 4: Simplify right side
    931.14x = 727,270.81
  5. Step 5: Solve for x
    x = 727,270.81/931.14
  6. Step 6: Final answer
    x = 781.05

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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.