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Finding the Fourth Proportional to 1,009.04, 1,513.49 and 359.69

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Solution

The fourth proportional to 1,009.04, 1,513.49 and 359.69 is: 539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.04 : 1,513.49 = 359.69 : x
  2. Step 2: Convert to fraction form
    1,009.04/1,513.49 = 359.69/x
  3. Step 3: Cross multiply
    1,009.04x = 1,513.49 × 359.69
  4. Step 4: Simplify right side
    1,009.04x = 544,377.85
  5. Step 5: Solve for x
    x = 544,377.85/1,009.04
  6. Step 6: Final answer
    x = 539.50

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1.5x scale

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.