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Finding the Fourth Proportional to 924.25, 1,273.30 and 643.98

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Solution

The fourth proportional to 924.25, 1,273.30 and 643.98 is: 887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.25 : 1,273.30 = 643.98 : x
  2. Step 2: Convert to fraction form
    924.25/1,273.30 = 643.98/x
  3. Step 3: Cross multiply
    924.25x = 1,273.30 × 643.98
  4. Step 4: Simplify right side
    924.25x = 819,973.35
  5. Step 5: Solve for x
    x = 819,973.35/924.25
  6. Step 6: Final answer
    x = 887.18

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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.