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Finding the Fourth Proportional to 1,029.31, 1,543.29 and 509.07

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Solution

The fourth proportional to 1,029.31, 1,543.29 and 509.07 is: 763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.31 : 1,543.29 = 509.07 : x
  2. Step 2: Convert to fraction form
    1,029.31/1,543.29 = 509.07/x
  3. Step 3: Cross multiply
    1,029.31x = 1,543.29 × 509.07
  4. Step 4: Simplify right side
    1,029.31x = 785,640.09
  5. Step 5: Solve for x
    x = 785,640.09/1,029.31
  6. Step 6: Final answer
    x = 763.27

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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.