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Finding the Fourth Proportional to 1,166.79, 1,748.36 and 618.83

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Solution

The fourth proportional to 1,166.79, 1,748.36 and 618.83 is: 927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.79 : 1,748.36 = 618.83 : x
  2. Step 2: Convert to fraction form
    1,166.79/1,748.36 = 618.83/x
  3. Step 3: Cross multiply
    1,166.79x = 1,748.36 × 618.83
  4. Step 4: Simplify right side
    1,166.79x = 1,081,937.62
  5. Step 5: Solve for x
    x = 1,081,937.62/1,166.79
  6. Step 6: Final answer
    x = 927.28

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1.5x scale

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.