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Finding the Fourth Proportional to 1,094.74, 1,510.77 and 669.43

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Solution

The fourth proportional to 1,094.74, 1,510.77 and 669.43 is: 923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.74 : 1,510.77 = 669.43 : x
  2. Step 2: Convert to fraction form
    1,094.74/1,510.77 = 669.43/x
  3. Step 3: Cross multiply
    1,094.74x = 1,510.77 × 669.43
  4. Step 4: Simplify right side
    1,094.74x = 1,011,354.76
  5. Step 5: Solve for x
    x = 1,011,354.76/1,094.74
  6. Step 6: Final answer
    x = 923.83

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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.