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Finding the Fourth Proportional to 924.96, 1,274.06 and 644.70

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Solution

The fourth proportional to 924.96, 1,274.06 and 644.70 is: 888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.96 : 1,274.06 = 644.70 : x
  2. Step 2: Convert to fraction form
    924.96/1,274.06 = 644.70/x
  3. Step 3: Cross multiply
    924.96x = 1,274.06 × 644.70
  4. Step 4: Simplify right side
    924.96x = 821,382.08
  5. Step 5: Solve for x
    x = 821,382.08/924.96
  6. Step 6: Final answer
    x = 888.02

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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.