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Finding the Fourth Proportional to 1,762.42, 2,642.19 and 666.16

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Solution

The fourth proportional to 1,762.42, 2,642.19 and 666.16 is: 998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.42 : 2,642.19 = 666.16 : x
  2. Step 2: Convert to fraction form
    1,762.42/2,642.19 = 666.16/x
  3. Step 3: Cross multiply
    1,762.42x = 2,642.19 × 666.16
  4. Step 4: Simplify right side
    1,762.42x = 1,760,121.29
  5. Step 5: Solve for x
    x = 1,760,121.29/1,762.42
  6. Step 6: Final answer
    x = 998.70

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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.