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Finding the Fourth Proportional to 924.31, 1,275.54 and 504.65

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Solution

The fourth proportional to 924.31, 1,275.54 and 504.65 is: 696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.31 : 1,275.54 = 504.65 : x
  2. Step 2: Convert to fraction form
    924.31/1,275.54 = 504.65/x
  3. Step 3: Cross multiply
    924.31x = 1,275.54 × 504.65
  4. Step 4: Simplify right side
    924.31x = 643,706.21
  5. Step 5: Solve for x
    x = 643,706.21/924.31
  6. Step 6: Final answer
    x = 696.42

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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.