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Finding the Fourth Proportional to 1,137.67, 1,705.20 and 616.51

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Solution

The fourth proportional to 1,137.67, 1,705.20 and 616.51 is: 924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.67 : 1,705.20 = 616.51 : x
  2. Step 2: Convert to fraction form
    1,137.67/1,705.20 = 616.51/x
  3. Step 3: Cross multiply
    1,137.67x = 1,705.20 × 616.51
  4. Step 4: Simplify right side
    1,137.67x = 1,051,272.85
  5. Step 5: Solve for x
    x = 1,051,272.85/1,137.67
  6. Step 6: Final answer
    x = 924.06

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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.