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Finding the Fourth Proportional to 1,009.10, 1,513.65 and 577.10

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Solution

The fourth proportional to 1,009.10, 1,513.65 and 577.10 is: 865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.10 : 1,513.65 = 577.10 : x
  2. Step 2: Convert to fraction form
    1,009.10/1,513.65 = 577.10/x
  3. Step 3: Cross multiply
    1,009.10x = 1,513.65 × 577.10
  4. Step 4: Simplify right side
    1,009.10x = 873,527.42
  5. Step 5: Solve for x
    x = 873,527.42/1,009.10
  6. Step 6: Final answer
    x = 865.65

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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.