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Finding the Fourth Proportional to 692.76, 956.19 and 471.66

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Solution

The fourth proportional to 692.76, 956.19 and 471.66 is: 651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 956.19 = 471.66 : x
  2. Step 2: Convert to fraction form
    692.76/956.19 = 471.66/x
  3. Step 3: Cross multiply
    692.76x = 956.19 × 471.66
  4. Step 4: Simplify right side
    692.76x = 450,996.58
  5. Step 5: Solve for x
    x = 450,996.58/692.76
  6. Step 6: Final answer
    x = 651.01

Related Problems

Find fourth proportional to 346.38, 478.10 and 235.83
Half scale
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Double scale
Find fourth proportional to 693.76, 957.57 and 472.66
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.