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Finding the Fourth Proportional to 1,009.24, 1,513.54 and 359.85

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Solution

The fourth proportional to 1,009.24, 1,513.54 and 359.85 is: 539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.24 : 1,513.54 = 359.85 : x
  2. Step 2: Convert to fraction form
    1,009.24/1,513.54 = 359.85/x
  3. Step 3: Cross multiply
    1,009.24x = 1,513.54 × 359.85
  4. Step 4: Simplify right side
    1,009.24x = 544,647.37
  5. Step 5: Solve for x
    x = 544,647.37/1,009.24
  6. Step 6: Final answer
    x = 539.66

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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.