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Finding the Fourth Proportional to 956.95, 1,435.27 and 340.55

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Solution

The fourth proportional to 956.95, 1,435.27 and 340.55 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.95 : 1,435.27 = 340.55 : x
  2. Step 2: Convert to fraction form
    956.95/1,435.27 = 340.55/x
  3. Step 3: Cross multiply
    956.95x = 1,435.27 × 340.55
  4. Step 4: Simplify right side
    956.95x = 488,787.26
  5. Step 5: Solve for x
    x = 488,787.26/956.95
  6. Step 6: Final answer
    x = 510.78

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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.