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Finding the Fourth Proportional to 699.77, 1,053.79 and 609.56

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Solution

The fourth proportional to 699.77, 1,053.79 and 609.56 is: 917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.77 : 1,053.79 = 609.56 : x
  2. Step 2: Convert to fraction form
    699.77/1,053.79 = 609.56/x
  3. Step 3: Cross multiply
    699.77x = 1,053.79 × 609.56
  4. Step 4: Simplify right side
    699.77x = 642,348.82
  5. Step 5: Solve for x
    x = 642,348.82/699.77
  6. Step 6: Final answer
    x = 917.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.