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Finding the Fourth Proportional to 1,113.51, 1,536.62 and 616.13

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Solution

The fourth proportional to 1,113.51, 1,536.62 and 616.13 is: 850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.51 : 1,536.62 = 616.13 : x
  2. Step 2: Convert to fraction form
    1,113.51/1,536.62 = 616.13/x
  3. Step 3: Cross multiply
    1,113.51x = 1,536.62 × 616.13
  4. Step 4: Simplify right side
    1,113.51x = 946,746.92
  5. Step 5: Solve for x
    x = 946,746.92/1,113.51
  6. Step 6: Final answer
    x = 850.24

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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.