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Finding the Fourth Proportional to 830.52, 1,145.96 and 515.87

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Solution

The fourth proportional to 830.52, 1,145.96 and 515.87 is: 711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,145.96 = 515.87 : x
  2. Step 2: Convert to fraction form
    830.52/1,145.96 = 515.87/x
  3. Step 3: Cross multiply
    830.52x = 1,145.96 × 515.87
  4. Step 4: Simplify right side
    830.52x = 591,167.21
  5. Step 5: Solve for x
    x = 591,167.21/830.52
  6. Step 6: Final answer
    x = 711.80

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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.