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Finding the Fourth Proportional to 692.02, 954.18 and 456.16

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Solution

The fourth proportional to 692.02, 954.18 and 456.16 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 954.18 = 456.16 : x
  2. Step 2: Convert to fraction form
    692.02/954.18 = 456.16/x
  3. Step 3: Cross multiply
    692.02x = 954.18 × 456.16
  4. Step 4: Simplify right side
    692.02x = 435,258.75
  5. Step 5: Solve for x
    x = 435,258.75/692.02
  6. Step 6: Final answer
    x = 628.97

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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.