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Finding the Fourth Proportional to 955.40, 1,431.88 and 590.29

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Solution

The fourth proportional to 955.40, 1,431.88 and 590.29 is: 884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.40 : 1,431.88 = 590.29 : x
  2. Step 2: Convert to fraction form
    955.40/1,431.88 = 590.29/x
  3. Step 3: Cross multiply
    955.40x = 1,431.88 × 590.29
  4. Step 4: Simplify right side
    955.40x = 845,219.39
  5. Step 5: Solve for x
    x = 845,219.39/955.40
  6. Step 6: Final answer
    x = 884.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.