Home / 1,173.40-1,618.75-824.29

Finding the Fourth Proportional to 1,173.40, 1,618.75 and 824.29

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Solution

The fourth proportional to 1,173.40, 1,618.75 and 824.29 is: 1,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.40 : 1,618.75 = 824.29 : x
  2. Step 2: Convert to fraction form
    1,173.40/1,618.75 = 824.29/x
  3. Step 3: Cross multiply
    1,173.40x = 1,618.75 × 824.29
  4. Step 4: Simplify right side
    1,173.40x = 1,334,316.42
  5. Step 5: Solve for x
    x = 1,334,316.42/1,173.40
  6. Step 6: Final answer
    x = 1,137.14

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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.