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Finding the Fourth Proportional to 972.11, 1,457.75 and 278.63

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Solution

The fourth proportional to 972.11, 1,457.75 and 278.63 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.11 : 1,457.75 = 278.63 : x
  2. Step 2: Convert to fraction form
    972.11/1,457.75 = 278.63/x
  3. Step 3: Cross multiply
    972.11x = 1,457.75 × 278.63
  4. Step 4: Simplify right side
    972.11x = 406,172.88
  5. Step 5: Solve for x
    x = 406,172.88/972.11
  6. Step 6: Final answer
    x = 417.83

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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.