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Finding the Fourth Proportional to 947.66, 1,420.85 and 484.55

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Solution

The fourth proportional to 947.66, 1,420.85 and 484.55 is: 726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,420.85 = 484.55 : x
  2. Step 2: Convert to fraction form
    947.66/1,420.85 = 484.55/x
  3. Step 3: Cross multiply
    947.66x = 1,420.85 × 484.55
  4. Step 4: Simplify right side
    947.66x = 688,466.97
  5. Step 5: Solve for x
    x = 688,466.97/947.66
  6. Step 6: Final answer
    x = 726.49

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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.