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Finding the Fourth Proportional to 947.20, 1,420.26 and 460.12

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Solution

The fourth proportional to 947.20, 1,420.26 and 460.12 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.20 : 1,420.26 = 460.12 : x
  2. Step 2: Convert to fraction form
    947.20/1,420.26 = 460.12/x
  3. Step 3: Cross multiply
    947.20x = 1,420.26 × 460.12
  4. Step 4: Simplify right side
    947.20x = 653,490.03
  5. Step 5: Solve for x
    x = 653,490.03/947.20
  6. Step 6: Final answer
    x = 689.92

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Double scale
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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.