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Finding the Fourth Proportional to 930.77, 1,396.20 and 411.01

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Solution

The fourth proportional to 930.77, 1,396.20 and 411.01 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.77 : 1,396.20 = 411.01 : x
  2. Step 2: Convert to fraction form
    930.77/1,396.20 = 411.01/x
  3. Step 3: Cross multiply
    930.77x = 1,396.20 × 411.01
  4. Step 4: Simplify right side
    930.77x = 573,852.16
  5. Step 5: Solve for x
    x = 573,852.16/930.77
  6. Step 6: Final answer
    x = 616.53

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.