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Finding the Fourth Proportional to 830.10, 1,244.34 and 397.02

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Solution

The fourth proportional to 830.10, 1,244.34 and 397.02 is: 595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,244.34 = 397.02 : x
  2. Step 2: Convert to fraction form
    830.10/1,244.34 = 397.02/x
  3. Step 3: Cross multiply
    830.10x = 1,244.34 × 397.02
  4. Step 4: Simplify right side
    830.10x = 494,027.87
  5. Step 5: Solve for x
    x = 494,027.87/830.10
  6. Step 6: Final answer
    x = 595.14

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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.