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Finding the Fourth Proportional to 972.14, 1,457.64 and 856.85

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Solution

The fourth proportional to 972.14, 1,457.64 and 856.85 is: 1,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.14 : 1,457.64 = 856.85 : x
  2. Step 2: Convert to fraction form
    972.14/1,457.64 = 856.85/x
  3. Step 3: Cross multiply
    972.14x = 1,457.64 × 856.85
  4. Step 4: Simplify right side
    972.14x = 1,248,971.55
  5. Step 5: Solve for x
    x = 1,248,971.55/972.14
  6. Step 6: Final answer
    x = 1,284.77

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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.