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Finding the Fourth Proportional to 972.56, 1,457.79 and 643.73

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Solution

The fourth proportional to 972.56, 1,457.79 and 643.73 is: 964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 1,457.79 = 643.73 : x
  2. Step 2: Convert to fraction form
    972.56/1,457.79 = 643.73/x
  3. Step 3: Cross multiply
    972.56x = 1,457.79 × 643.73
  4. Step 4: Simplify right side
    972.56x = 938,423.16
  5. Step 5: Solve for x
    x = 938,423.16/972.56
  6. Step 6: Final answer
    x = 964.90

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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.