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Finding the Fourth Proportional to 1,009.64, 1,513.06 and 575.88

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Solution

The fourth proportional to 1,009.64, 1,513.06 and 575.88 is: 863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.64 : 1,513.06 = 575.88 : x
  2. Step 2: Convert to fraction form
    1,009.64/1,513.06 = 575.88/x
  3. Step 3: Cross multiply
    1,009.64x = 1,513.06 × 575.88
  4. Step 4: Simplify right side
    1,009.64x = 871,340.99
  5. Step 5: Solve for x
    x = 871,340.99/1,009.64
  6. Step 6: Final answer
    x = 863.02

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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.