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Finding the Fourth Proportional to 632.50, 948.40 and 340.35

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Solution

The fourth proportional to 632.50, 948.40 and 340.35 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 948.40 = 340.35 : x
  2. Step 2: Convert to fraction form
    632.50/948.40 = 340.35/x
  3. Step 3: Cross multiply
    632.50x = 948.40 × 340.35
  4. Step 4: Simplify right side
    632.50x = 322,787.94
  5. Step 5: Solve for x
    x = 322,787.94/632.50
  6. Step 6: Final answer
    x = 510.34

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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.