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Finding the Fourth Proportional to 1,009.40, 1,513.02 and 431.96

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Solution

The fourth proportional to 1,009.40, 1,513.02 and 431.96 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.40 : 1,513.02 = 431.96 : x
  2. Step 2: Convert to fraction form
    1,009.40/1,513.02 = 431.96/x
  3. Step 3: Cross multiply
    1,009.40x = 1,513.02 × 431.96
  4. Step 4: Simplify right side
    1,009.40x = 653,564.12
  5. Step 5: Solve for x
    x = 653,564.12/1,009.40
  6. Step 6: Final answer
    x = 647.48

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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.