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Finding the Fourth Proportional to 1,083.51, 1,621.76 and 713.63

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Solution

The fourth proportional to 1,083.51, 1,621.76 and 713.63 is: 1,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.51 : 1,621.76 = 713.63 : x
  2. Step 2: Convert to fraction form
    1,083.51/1,621.76 = 713.63/x
  3. Step 3: Cross multiply
    1,083.51x = 1,621.76 × 713.63
  4. Step 4: Simplify right side
    1,083.51x = 1,157,337.08
  5. Step 5: Solve for x
    x = 1,157,337.08/1,083.51
  6. Step 6: Final answer
    x = 1,068.14

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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.