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Finding the Fourth Proportional to 984.10, 1,357.50 and 590.90

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Solution

The fourth proportional to 984.10, 1,357.50 and 590.90 is: 815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.10 : 1,357.50 = 590.90 : x
  2. Step 2: Convert to fraction form
    984.10/1,357.50 = 590.90/x
  3. Step 3: Cross multiply
    984.10x = 1,357.50 × 590.90
  4. Step 4: Simplify right side
    984.10x = 802,146.75
  5. Step 5: Solve for x
    x = 802,146.75/984.10
  6. Step 6: Final answer
    x = 815.11

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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.