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Finding the Fourth Proportional to 782.35, 1,172.82 and 417.40

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Solution

The fourth proportional to 782.35, 1,172.82 and 417.40 is: 625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,172.82 = 417.40 : x
  2. Step 2: Convert to fraction form
    782.35/1,172.82 = 417.40/x
  3. Step 3: Cross multiply
    782.35x = 1,172.82 × 417.40
  4. Step 4: Simplify right side
    782.35x = 489,535.07
  5. Step 5: Solve for x
    x = 489,535.07/782.35
  6. Step 6: Final answer
    x = 625.72

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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.