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Finding the Fourth Proportional to 779.76, 1,167.84 and 617.04

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Solution

The fourth proportional to 779.76, 1,167.84 and 617.04 is: 924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,167.84 = 617.04 : x
  2. Step 2: Convert to fraction form
    779.76/1,167.84 = 617.04/x
  3. Step 3: Cross multiply
    779.76x = 1,167.84 × 617.04
  4. Step 4: Simplify right side
    779.76x = 720,603.99
  5. Step 5: Solve for x
    x = 720,603.99/779.76
  6. Step 6: Final answer
    x = 924.14

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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.