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Finding the Fourth Proportional to 924.07, 1,275.21 and 504.42

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Solution

The fourth proportional to 924.07, 1,275.21 and 504.42 is: 696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.07 : 1,275.21 = 504.42 : x
  2. Step 2: Convert to fraction form
    924.07/1,275.21 = 504.42/x
  3. Step 3: Cross multiply
    924.07x = 1,275.21 × 504.42
  4. Step 4: Simplify right side
    924.07x = 643,241.43
  5. Step 5: Solve for x
    x = 643,241.43/924.07
  6. Step 6: Final answer
    x = 696.10

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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.