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Finding the Fourth Proportional to 1,443.08, 2,164.86 and 577.40

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Solution

The fourth proportional to 1,443.08, 2,164.86 and 577.40 is: 866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.08 : 2,164.86 = 577.40 : x
  2. Step 2: Convert to fraction form
    1,443.08/2,164.86 = 577.40/x
  3. Step 3: Cross multiply
    1,443.08x = 2,164.86 × 577.40
  4. Step 4: Simplify right side
    1,443.08x = 1,249,990.16
  5. Step 5: Solve for x
    x = 1,249,990.16/1,443.08
  6. Step 6: Final answer
    x = 866.20

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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.