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Finding the Fourth Proportional to 930.76, 1,286.16 and 709.32

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Solution

The fourth proportional to 930.76, 1,286.16 and 709.32 is: 980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,286.16 = 709.32 : x
  2. Step 2: Convert to fraction form
    930.76/1,286.16 = 709.32/x
  3. Step 3: Cross multiply
    930.76x = 1,286.16 × 709.32
  4. Step 4: Simplify right side
    930.76x = 912,299.01
  5. Step 5: Solve for x
    x = 912,299.01/930.76
  6. Step 6: Final answer
    x = 980.17

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.