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Finding the Fourth Proportional to 502.16, 692.04 and 476.96

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Solution

The fourth proportional to 502.16, 692.04 and 476.96 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 692.04 = 476.96 : x
  2. Step 2: Convert to fraction form
    502.16/692.04 = 476.96/x
  3. Step 3: Cross multiply
    502.16x = 692.04 × 476.96
  4. Step 4: Simplify right side
    502.16x = 330,075.40
  5. Step 5: Solve for x
    x = 330,075.40/502.16
  6. Step 6: Final answer
    x = 657.31

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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.