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Finding the Fourth Proportional to 971.35, 1,462.50 and 856.53

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Solution

The fourth proportional to 971.35, 1,462.50 and 856.53 is: 1,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.35 : 1,462.50 = 856.53 : x
  2. Step 2: Convert to fraction form
    971.35/1,462.50 = 856.53/x
  3. Step 3: Cross multiply
    971.35x = 1,462.50 × 856.53
  4. Step 4: Simplify right side
    971.35x = 1,252,675.13
  5. Step 5: Solve for x
    x = 1,252,675.13/971.35
  6. Step 6: Final answer
    x = 1,289.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.