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Finding the Fourth Proportional to 983.90, 1,475.38 and 573.19

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Solution

The fourth proportional to 983.90, 1,475.38 and 573.19 is: 859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.90 : 1,475.38 = 573.19 : x
  2. Step 2: Convert to fraction form
    983.90/1,475.38 = 573.19/x
  3. Step 3: Cross multiply
    983.90x = 1,475.38 × 573.19
  4. Step 4: Simplify right side
    983.90x = 845,667.94
  5. Step 5: Solve for x
    x = 845,667.94/983.90
  6. Step 6: Final answer
    x = 859.50

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Double scale
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1.5x scale

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.