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Finding the Fourth Proportional to 668.13, 921.58 and 502.08

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Solution

The fourth proportional to 668.13, 921.58 and 502.08 is: 692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.13 : 921.58 = 502.08 : x
  2. Step 2: Convert to fraction form
    668.13/921.58 = 502.08/x
  3. Step 3: Cross multiply
    668.13x = 921.58 × 502.08
  4. Step 4: Simplify right side
    668.13x = 462,706.89
  5. Step 5: Solve for x
    x = 462,706.89/668.13
  6. Step 6: Final answer
    x = 692.54

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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.