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Finding the Fourth Proportional to 931.91, 1,285.20 and 774.77

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Solution

The fourth proportional to 931.91, 1,285.20 and 774.77 is: 1,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.91 : 1,285.20 = 774.77 : x
  2. Step 2: Convert to fraction form
    931.91/1,285.20 = 774.77/x
  3. Step 3: Cross multiply
    931.91x = 1,285.20 × 774.77
  4. Step 4: Simplify right side
    931.91x = 995,727.98
  5. Step 5: Solve for x
    x = 995,727.98/931.91
  6. Step 6: Final answer
    x = 1,068.49

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Double scale
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1.5x scale

Why These Related Problems?

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