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Finding the Fourth Proportional to 985.91, 1,471.14 and 882

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Solution

The fourth proportional to 985.91, 1,471.14 and 882 is: 1,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.91 : 1,471.14 = 882 : x
  2. Step 2: Convert to fraction form
    985.91/1,471.14 = 882/x
  3. Step 3: Cross multiply
    985.91x = 1,471.14 × 882
  4. Step 4: Simplify right side
    985.91x = 1,297,545.48
  5. Step 5: Solve for x
    x = 1,297,545.48/985.91
  6. Step 6: Final answer
    x = 1,316.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.