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Finding the Fourth Proportional to 830.42, 1,146.04 and 515.89

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Solution

The fourth proportional to 830.42, 1,146.04 and 515.89 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.42 : 1,146.04 = 515.89 : x
  2. Step 2: Convert to fraction form
    830.42/1,146.04 = 515.89/x
  3. Step 3: Cross multiply
    830.42x = 1,146.04 × 515.89
  4. Step 4: Simplify right side
    830.42x = 591,233.62
  5. Step 5: Solve for x
    x = 591,233.62/830.42
  6. Step 6: Final answer
    x = 711.97

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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.