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Finding the Fourth Proportional to 1,692.96, 2,336.20 and 946.77

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Solution

The fourth proportional to 1,692.96, 2,336.20 and 946.77 is: 1,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.96 : 2,336.20 = 946.77 : x
  2. Step 2: Convert to fraction form
    1,692.96/2,336.20 = 946.77/x
  3. Step 3: Cross multiply
    1,692.96x = 2,336.20 × 946.77
  4. Step 4: Simplify right side
    1,692.96x = 2,211,832.39
  5. Step 5: Solve for x
    x = 2,211,832.39/1,692.96
  6. Step 6: Final answer
    x = 1,306.49

Related Problems

Find fourth proportional to 846.48, 1,168.10 and 473.38
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.