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Finding the Fourth Proportional to 931.70, 1,285.91 and 696.83

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Solution

The fourth proportional to 931.70, 1,285.91 and 696.83 is: 961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.70 : 1,285.91 = 696.83 : x
  2. Step 2: Convert to fraction form
    931.70/1,285.91 = 696.83/x
  3. Step 3: Cross multiply
    931.70x = 1,285.91 × 696.83
  4. Step 4: Simplify right side
    931.70x = 896,050.75
  5. Step 5: Solve for x
    x = 896,050.75/931.70
  6. Step 6: Final answer
    x = 961.74

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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.