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Finding the Fourth Proportional to 668.16, 1,005.84 and 477.12

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Solution

The fourth proportional to 668.16, 1,005.84 and 477.12 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 1,005.84 = 477.12 : x
  2. Step 2: Convert to fraction form
    668.16/1,005.84 = 477.12/x
  3. Step 3: Cross multiply
    668.16x = 1,005.84 × 477.12
  4. Step 4: Simplify right side
    668.16x = 479,906.38
  5. Step 5: Solve for x
    x = 479,906.38/668.16
  6. Step 6: Final answer
    x = 718.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.