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Finding the Fourth Proportional to 782.65, 1,174.50 and 417.70

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Solution

The fourth proportional to 782.65, 1,174.50 and 417.70 is: 626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.65 : 1,174.50 = 417.70 : x
  2. Step 2: Convert to fraction form
    782.65/1,174.50 = 417.70/x
  3. Step 3: Cross multiply
    782.65x = 1,174.50 × 417.70
  4. Step 4: Simplify right side
    782.65x = 490,582.78
  5. Step 5: Solve for x
    x = 490,582.78/782.65
  6. Step 6: Final answer
    x = 626.83

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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.