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Finding the Fourth Proportional to 956.46, 1,434.88 and 523.50

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Solution

The fourth proportional to 956.46, 1,434.88 and 523.50 is: 785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.46 : 1,434.88 = 523.50 : x
  2. Step 2: Convert to fraction form
    956.46/1,434.88 = 523.50/x
  3. Step 3: Cross multiply
    956.46x = 1,434.88 × 523.50
  4. Step 4: Simplify right side
    956.46x = 751,159.68
  5. Step 5: Solve for x
    x = 751,159.68/956.46
  6. Step 6: Final answer
    x = 785.35

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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.