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Finding the Fourth Proportional to 670.64, 925.11 and 473.81

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Solution

The fourth proportional to 670.64, 925.11 and 473.81 is: 653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 925.11 = 473.81 : x
  2. Step 2: Convert to fraction form
    670.64/925.11 = 473.81/x
  3. Step 3: Cross multiply
    670.64x = 925.11 × 473.81
  4. Step 4: Simplify right side
    670.64x = 438,326.37
  5. Step 5: Solve for x
    x = 438,326.37/670.64
  6. Step 6: Final answer
    x = 653.59

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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.