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Finding the Fourth Proportional to 924.43, 1,275.30 and 609.29

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Solution

The fourth proportional to 924.43, 1,275.30 and 609.29 is: 840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.43 : 1,275.30 = 609.29 : x
  2. Step 2: Convert to fraction form
    924.43/1,275.30 = 609.29/x
  3. Step 3: Cross multiply
    924.43x = 1,275.30 × 609.29
  4. Step 4: Simplify right side
    924.43x = 777,021.16
  5. Step 5: Solve for x
    x = 777,021.16/924.43
  6. Step 6: Final answer
    x = 840.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.