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Finding the Fourth Proportional to 931.37, 1,286.35 and 709.83

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Solution

The fourth proportional to 931.37, 1,286.35 and 709.83 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.37 : 1,286.35 = 709.83 : x
  2. Step 2: Convert to fraction form
    931.37/1,286.35 = 709.83/x
  3. Step 3: Cross multiply
    931.37x = 1,286.35 × 709.83
  4. Step 4: Simplify right side
    931.37x = 913,088.05
  5. Step 5: Solve for x
    x = 913,088.05/931.37
  6. Step 6: Final answer
    x = 980.38

Related Problems

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Half scale
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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.