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Finding the Fourth Proportional to 947.07, 1,418.76 and 460.44

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Solution

The fourth proportional to 947.07, 1,418.76 and 460.44 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,418.76 = 460.44 : x
  2. Step 2: Convert to fraction form
    947.07/1,418.76 = 460.44/x
  3. Step 3: Cross multiply
    947.07x = 1,418.76 × 460.44
  4. Step 4: Simplify right side
    947.07x = 653,253.85
  5. Step 5: Solve for x
    x = 653,253.85/947.07
  6. Step 6: Final answer
    x = 689.76

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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.