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Finding the Fourth Proportional to 789.00, 1,088.75 and 434.86

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Solution

The fourth proportional to 789.00, 1,088.75 and 434.86 is: 600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.00 : 1,088.75 = 434.86 : x
  2. Step 2: Convert to fraction form
    789.00/1,088.75 = 434.86/x
  3. Step 3: Cross multiply
    789.00x = 1,088.75 × 434.86
  4. Step 4: Simplify right side
    789.00x = 473,450.29
  5. Step 5: Solve for x
    x = 473,450.29/789.00
  6. Step 6: Final answer
    x = 600.07

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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.