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Finding the Fourth Proportional to 1,442.71, 2,164.88 and 577.09

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Solution

The fourth proportional to 1,442.71, 2,164.88 and 577.09 is: 865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.71 : 2,164.88 = 577.09 : x
  2. Step 2: Convert to fraction form
    1,442.71/2,164.88 = 577.09/x
  3. Step 3: Cross multiply
    1,442.71x = 2,164.88 × 577.09
  4. Step 4: Simplify right side
    1,442.71x = 1,249,330.60
  5. Step 5: Solve for x
    x = 1,249,330.60/1,442.71
  6. Step 6: Final answer
    x = 865.96

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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.