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Finding the Fourth Proportional to 830.07, 1,145.45 and 498.42

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Solution

The fourth proportional to 830.07, 1,145.45 and 498.42 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.07 : 1,145.45 = 498.42 : x
  2. Step 2: Convert to fraction form
    830.07/1,145.45 = 498.42/x
  3. Step 3: Cross multiply
    830.07x = 1,145.45 × 498.42
  4. Step 4: Simplify right side
    830.07x = 570,912.70
  5. Step 5: Solve for x
    x = 570,912.70/830.07
  6. Step 6: Final answer
    x = 687.79

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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.