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Finding the Fourth Proportional to 925.28, 1,386.70 and 514.21

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Solution

The fourth proportional to 925.28, 1,386.70 and 514.21 is: 770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.28 : 1,386.70 = 514.21 : x
  2. Step 2: Convert to fraction form
    925.28/1,386.70 = 514.21/x
  3. Step 3: Cross multiply
    925.28x = 1,386.70 × 514.21
  4. Step 4: Simplify right side
    925.28x = 713,055.01
  5. Step 5: Solve for x
    x = 713,055.01/925.28
  6. Step 6: Final answer
    x = 770.64

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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.