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Finding the Fourth Proportional to 929.49, 1,394.28 and 280.05

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Solution

The fourth proportional to 929.49, 1,394.28 and 280.05 is: 420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.49 : 1,394.28 = 280.05 : x
  2. Step 2: Convert to fraction form
    929.49/1,394.28 = 280.05/x
  3. Step 3: Cross multiply
    929.49x = 1,394.28 × 280.05
  4. Step 4: Simplify right side
    929.49x = 390,468.11
  5. Step 5: Solve for x
    x = 390,468.11/929.49
  6. Step 6: Final answer
    x = 420.09

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1.5x scale

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.