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Finding the Fourth Proportional to 692.76, 957.06 and 471.72

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Solution

The fourth proportional to 692.76, 957.06 and 471.72 is: 651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 957.06 = 471.72 : x
  2. Step 2: Convert to fraction form
    692.76/957.06 = 471.72/x
  3. Step 3: Cross multiply
    692.76x = 957.06 × 471.72
  4. Step 4: Simplify right side
    692.76x = 451,464.34
  5. Step 5: Solve for x
    x = 451,464.34/692.76
  6. Step 6: Final answer
    x = 651.69

Related Problems

Find fourth proportional to 346.38, 478.53 and 235.86
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.