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Finding the Fourth Proportional to 830.11, 1,145.64 and 515.58

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Solution

The fourth proportional to 830.11, 1,145.64 and 515.58 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.11 : 1,145.64 = 515.58 : x
  2. Step 2: Convert to fraction form
    830.11/1,145.64 = 515.58/x
  3. Step 3: Cross multiply
    830.11x = 1,145.64 × 515.58
  4. Step 4: Simplify right side
    830.11x = 590,669.07
  5. Step 5: Solve for x
    x = 590,669.07/830.11
  6. Step 6: Final answer
    x = 711.56

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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.