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Finding the Fourth Proportional to 1,193.51, 1,647.12 and 669.57

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Solution

The fourth proportional to 1,193.51, 1,647.12 and 669.57 is: 924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.51 : 1,647.12 = 669.57 : x
  2. Step 2: Convert to fraction form
    1,193.51/1,647.12 = 669.57/x
  3. Step 3: Cross multiply
    1,193.51x = 1,647.12 × 669.57
  4. Step 4: Simplify right side
    1,193.51x = 1,102,862.14
  5. Step 5: Solve for x
    x = 1,102,862.14/1,193.51
  6. Step 6: Final answer
    x = 924.05

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1.5x scale

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.