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Finding the Fourth Proportional to 1,097.33, 1,646.48 and 577.20

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Solution

The fourth proportional to 1,097.33, 1,646.48 and 577.20 is: 866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.33 : 1,646.48 = 577.20 : x
  2. Step 2: Convert to fraction form
    1,097.33/1,646.48 = 577.20/x
  3. Step 3: Cross multiply
    1,097.33x = 1,646.48 × 577.20
  4. Step 4: Simplify right side
    1,097.33x = 950,345.37
  5. Step 5: Solve for x
    x = 950,345.37/1,097.33
  6. Step 6: Final answer
    x = 866.06

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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.