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Finding the Fourth Proportional to 1,209.51, 1,669.91 and 929.21

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Solution

The fourth proportional to 1,209.51, 1,669.91 and 929.21 is: 1,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.51 : 1,669.91 = 929.21 : x
  2. Step 2: Convert to fraction form
    1,209.51/1,669.91 = 929.21/x
  3. Step 3: Cross multiply
    1,209.51x = 1,669.91 × 929.21
  4. Step 4: Simplify right side
    1,209.51x = 1,551,697.07
  5. Step 5: Solve for x
    x = 1,551,697.07/1,209.51
  6. Step 6: Final answer
    x = 1,282.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.