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Finding the Fourth Proportional to 1,021.68, 1,410.21 and 691.00

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Solution

The fourth proportional to 1,021.68, 1,410.21 and 691.00 is: 953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.68 : 1,410.21 = 691.00 : x
  2. Step 2: Convert to fraction form
    1,021.68/1,410.21 = 691.00/x
  3. Step 3: Cross multiply
    1,021.68x = 1,410.21 × 691.00
  4. Step 4: Simplify right side
    1,021.68x = 974,451.58
  5. Step 5: Solve for x
    x = 974,451.58/1,021.68
  6. Step 6: Final answer
    x = 953.77

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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.