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Finding the Fourth Proportional to 1,117.64, 1,542.36 and 620.31

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Solution

The fourth proportional to 1,117.64, 1,542.36 and 620.31 is: 856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.64 : 1,542.36 = 620.31 : x
  2. Step 2: Convert to fraction form
    1,117.64/1,542.36 = 620.31/x
  3. Step 3: Cross multiply
    1,117.64x = 1,542.36 × 620.31
  4. Step 4: Simplify right side
    1,117.64x = 956,738.23
  5. Step 5: Solve for x
    x = 956,738.23/1,117.64
  6. Step 6: Final answer
    x = 856.03

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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.