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Finding the Fourth Proportional to 959.40, 1,323.90 and 609.75

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Solution

The fourth proportional to 959.40, 1,323.90 and 609.75 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.40 : 1,323.90 = 609.75 : x
  2. Step 2: Convert to fraction form
    959.40/1,323.90 = 609.75/x
  3. Step 3: Cross multiply
    959.40x = 1,323.90 × 609.75
  4. Step 4: Simplify right side
    959.40x = 807,248.03
  5. Step 5: Solve for x
    x = 807,248.03/959.40
  6. Step 6: Final answer
    x = 841.41

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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.