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Finding the Fourth Proportional to 1,098.49, 1,646.20 and 577.45

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Solution

The fourth proportional to 1,098.49, 1,646.20 and 577.45 is: 865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.49 : 1,646.20 = 577.45 : x
  2. Step 2: Convert to fraction form
    1,098.49/1,646.20 = 577.45/x
  3. Step 3: Cross multiply
    1,098.49x = 1,646.20 × 577.45
  4. Step 4: Simplify right side
    1,098.49x = 950,598.19
  5. Step 5: Solve for x
    x = 950,598.19/1,098.49
  6. Step 6: Final answer
    x = 865.37

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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.