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Finding the Fourth Proportional to 505.92, 692.94 and 476.40

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Solution

The fourth proportional to 505.92, 692.94 and 476.40 is: 652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 692.94 = 476.40 : x
  2. Step 2: Convert to fraction form
    505.92/692.94 = 476.40/x
  3. Step 3: Cross multiply
    505.92x = 692.94 × 476.40
  4. Step 4: Simplify right side
    505.92x = 330,116.62
  5. Step 5: Solve for x
    x = 330,116.62/505.92
  6. Step 6: Final answer
    x = 652.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.