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Finding the Fourth Proportional to 789.77, 1,089.82 and 509.51

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Solution

The fourth proportional to 789.77, 1,089.82 and 509.51 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.77 : 1,089.82 = 509.51 : x
  2. Step 2: Convert to fraction form
    789.77/1,089.82 = 509.51/x
  3. Step 3: Cross multiply
    789.77x = 1,089.82 × 509.51
  4. Step 4: Simplify right side
    789.77x = 555,274.19
  5. Step 5: Solve for x
    x = 555,274.19/789.77
  6. Step 6: Final answer
    x = 703.08

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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.