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Finding the Fourth Proportional to 692.64, 954.76 and 471.21

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Solution

The fourth proportional to 692.64, 954.76 and 471.21 is: 649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 954.76 = 471.21 : x
  2. Step 2: Convert to fraction form
    692.64/954.76 = 471.21/x
  3. Step 3: Cross multiply
    692.64x = 954.76 × 471.21
  4. Step 4: Simplify right side
    692.64x = 449,886.51
  5. Step 5: Solve for x
    x = 449,886.51/692.64
  6. Step 6: Final answer
    x = 649.53

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.