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Finding the Fourth Proportional to 473.81, 653.49 and 420.71

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Solution

The fourth proportional to 473.81, 653.49 and 420.71 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.81 : 653.49 = 420.71 : x
  2. Step 2: Convert to fraction form
    473.81/653.49 = 420.71/x
  3. Step 3: Cross multiply
    473.81x = 653.49 × 420.71
  4. Step 4: Simplify right side
    473.81x = 274,926.51
  5. Step 5: Solve for x
    x = 274,926.51/473.81
  6. Step 6: Final answer
    x = 580.25

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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.