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Finding the Fourth Proportional to 983.90, 1,475.91 and 572.91

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Solution

The fourth proportional to 983.90, 1,475.91 and 572.91 is: 859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.90 : 1,475.91 = 572.91 : x
  2. Step 2: Convert to fraction form
    983.90/1,475.91 = 572.91/x
  3. Step 3: Cross multiply
    983.90x = 1,475.91 × 572.91
  4. Step 4: Simplify right side
    983.90x = 845,563.60
  5. Step 5: Solve for x
    x = 845,563.60/983.90
  6. Step 6: Final answer
    x = 859.40

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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.