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Finding the Fourth Proportional to 782.45, 1,173.52 and 417.34

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Solution

The fourth proportional to 782.45, 1,173.52 and 417.34 is: 625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.45 : 1,173.52 = 417.34 : x
  2. Step 2: Convert to fraction form
    782.45/1,173.52 = 417.34/x
  3. Step 3: Cross multiply
    782.45x = 1,173.52 × 417.34
  4. Step 4: Simplify right side
    782.45x = 489,756.84
  5. Step 5: Solve for x
    x = 489,756.84/782.45
  6. Step 6: Final answer
    x = 625.93

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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.