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Finding the Fourth Proportional to 1,048.47, 1,564.14 and 966.45

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Solution

The fourth proportional to 1,048.47, 1,564.14 and 966.45 is: 1,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.47 : 1,564.14 = 966.45 : x
  2. Step 2: Convert to fraction form
    1,048.47/1,564.14 = 966.45/x
  3. Step 3: Cross multiply
    1,048.47x = 1,564.14 × 966.45
  4. Step 4: Simplify right side
    1,048.47x = 1,511,663.10
  5. Step 5: Solve for x
    x = 1,511,663.10/1,048.47
  6. Step 6: Final answer
    x = 1,441.78

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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.