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Finding the Fourth Proportional to 923.95, 1,275.33 and 609.46

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Solution

The fourth proportional to 923.95, 1,275.33 and 609.46 is: 841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.95 : 1,275.33 = 609.46 : x
  2. Step 2: Convert to fraction form
    923.95/1,275.33 = 609.46/x
  3. Step 3: Cross multiply
    923.95x = 1,275.33 × 609.46
  4. Step 4: Simplify right side
    923.95x = 777,262.62
  5. Step 5: Solve for x
    x = 777,262.62/923.95
  6. Step 6: Final answer
    x = 841.24

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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.