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Finding the Fourth Proportional to 1,157.31, 1,736.55 and 885.15

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Solution

The fourth proportional to 1,157.31, 1,736.55 and 885.15 is: 1,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.31 : 1,736.55 = 885.15 : x
  2. Step 2: Convert to fraction form
    1,157.31/1,736.55 = 885.15/x
  3. Step 3: Cross multiply
    1,157.31x = 1,736.55 × 885.15
  4. Step 4: Simplify right side
    1,157.31x = 1,537,107.23
  5. Step 5: Solve for x
    x = 1,537,107.23/1,157.31
  6. Step 6: Final answer
    x = 1,328.17

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1.5x scale

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.