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Finding the Fourth Proportional to 972.05, 1,457.25 and 423.81

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Solution

The fourth proportional to 972.05, 1,457.25 and 423.81 is: 635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,457.25 = 423.81 : x
  2. Step 2: Convert to fraction form
    972.05/1,457.25 = 423.81/x
  3. Step 3: Cross multiply
    972.05x = 1,457.25 × 423.81
  4. Step 4: Simplify right side
    972.05x = 617,597.12
  5. Step 5: Solve for x
    x = 617,597.12/972.05
  6. Step 6: Final answer
    x = 635.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.