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Finding the Fourth Proportional to 789.86, 1,088.94 and 590.99

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Solution

The fourth proportional to 789.86, 1,088.94 and 590.99 is: 814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.86 : 1,088.94 = 590.99 : x
  2. Step 2: Convert to fraction form
    789.86/1,088.94 = 590.99/x
  3. Step 3: Cross multiply
    789.86x = 1,088.94 × 590.99
  4. Step 4: Simplify right side
    789.86x = 643,547.21
  5. Step 5: Solve for x
    x = 643,547.21/789.86
  6. Step 6: Final answer
    x = 814.76

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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.