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Finding the Fourth Proportional to 1,170.13, 1,752.16 and 1,135.51

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Solution

The fourth proportional to 1,170.13, 1,752.16 and 1,135.51 is: 1,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.13 : 1,752.16 = 1,135.51 : x
  2. Step 2: Convert to fraction form
    1,170.13/1,752.16 = 1,135.51/x
  3. Step 3: Cross multiply
    1,170.13x = 1,752.16 × 1,135.51
  4. Step 4: Simplify right side
    1,170.13x = 1,989,595.20
  5. Step 5: Solve for x
    x = 1,989,595.20/1,170.13
  6. Step 6: Final answer
    x = 1,700.32

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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.