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Finding the Fourth Proportional to 830.68, 1,145.81 and 617.81

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Solution

The fourth proportional to 830.68, 1,145.81 and 617.81 is: 852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.68 : 1,145.81 = 617.81 : x
  2. Step 2: Convert to fraction form
    830.68/1,145.81 = 617.81/x
  3. Step 3: Cross multiply
    830.68x = 1,145.81 × 617.81
  4. Step 4: Simplify right side
    830.68x = 707,888.69
  5. Step 5: Solve for x
    x = 707,888.69/830.68
  6. Step 6: Final answer
    x = 852.18

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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.