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Finding the Fourth Proportional to 983.87, 1,357.54 and 564.19

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Solution

The fourth proportional to 983.87, 1,357.54 and 564.19 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.87 : 1,357.54 = 564.19 : x
  2. Step 2: Convert to fraction form
    983.87/1,357.54 = 564.19/x
  3. Step 3: Cross multiply
    983.87x = 1,357.54 × 564.19
  4. Step 4: Simplify right side
    983.87x = 765,910.78
  5. Step 5: Solve for x
    x = 765,910.78/983.87
  6. Step 6: Final answer
    x = 778.47

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Double scale
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1.5x scale

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.