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Finding the Fourth Proportional to 789.59, 1,089.64 and 458.08

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Solution

The fourth proportional to 789.59, 1,089.64 and 458.08 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.59 : 1,089.64 = 458.08 : x
  2. Step 2: Convert to fraction form
    789.59/1,089.64 = 458.08/x
  3. Step 3: Cross multiply
    789.59x = 1,089.64 × 458.08
  4. Step 4: Simplify right side
    789.59x = 499,140.00
  5. Step 5: Solve for x
    x = 499,140.00/789.59
  6. Step 6: Final answer
    x = 632.15

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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.