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Finding the Fourth Proportional to 955.57, 1,432.66 and 305.93

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Solution

The fourth proportional to 955.57, 1,432.66 and 305.93 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.57 : 1,432.66 = 305.93 : x
  2. Step 2: Convert to fraction form
    955.57/1,432.66 = 305.93/x
  3. Step 3: Cross multiply
    955.57x = 1,432.66 × 305.93
  4. Step 4: Simplify right side
    955.57x = 438,292.14
  5. Step 5: Solve for x
    x = 438,292.14/955.57
  6. Step 6: Final answer
    x = 458.67

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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.