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Finding the Fourth Proportional to 1,064.64, 1,597.31 and 544.78

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Solution

The fourth proportional to 1,064.64, 1,597.31 and 544.78 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.64 : 1,597.31 = 544.78 : x
  2. Step 2: Convert to fraction form
    1,064.64/1,597.31 = 544.78/x
  3. Step 3: Cross multiply
    1,064.64x = 1,597.31 × 544.78
  4. Step 4: Simplify right side
    1,064.64x = 870,179.91
  5. Step 5: Solve for x
    x = 870,179.91/1,064.64
  6. Step 6: Final answer
    x = 817.35

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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.