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Finding the Fourth Proportional to 1,154.50, 1,720.62 and 1,152.68

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Solution

The fourth proportional to 1,154.50, 1,720.62 and 1,152.68 is: 1,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.50 : 1,720.62 = 1,152.68 : x
  2. Step 2: Convert to fraction form
    1,154.50/1,720.62 = 1,152.68/x
  3. Step 3: Cross multiply
    1,154.50x = 1,720.62 × 1,152.68
  4. Step 4: Simplify right side
    1,154.50x = 1,983,324.26
  5. Step 5: Solve for x
    x = 1,983,324.26/1,154.50
  6. Step 6: Final answer
    x = 1,717.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.