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Finding the Fourth Proportional to 971.60, 1,457.46 and 856.85

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Solution

The fourth proportional to 971.60, 1,457.46 and 856.85 is: 1,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.60 : 1,457.46 = 856.85 : x
  2. Step 2: Convert to fraction form
    971.60/1,457.46 = 856.85/x
  3. Step 3: Cross multiply
    971.60x = 1,457.46 × 856.85
  4. Step 4: Simplify right side
    971.60x = 1,248,817.31
  5. Step 5: Solve for x
    x = 1,248,817.31/971.60
  6. Step 6: Final answer
    x = 1,285.33

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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.