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Finding the Fourth Proportional to 947.30, 1,306.89 and 684.74

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Solution

The fourth proportional to 947.30, 1,306.89 and 684.74 is: 944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.30 : 1,306.89 = 684.74 : x
  2. Step 2: Convert to fraction form
    947.30/1,306.89 = 684.74/x
  3. Step 3: Cross multiply
    947.30x = 1,306.89 × 684.74
  4. Step 4: Simplify right side
    947.30x = 894,879.86
  5. Step 5: Solve for x
    x = 894,879.86/947.30
  6. Step 6: Final answer
    x = 944.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.