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Finding the Fourth Proportional to 1,027.65, 1,417.80 and 691.56

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Solution

The fourth proportional to 1,027.65, 1,417.80 and 691.56 is: 954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.65 : 1,417.80 = 691.56 : x
  2. Step 2: Convert to fraction form
    1,027.65/1,417.80 = 691.56/x
  3. Step 3: Cross multiply
    1,027.65x = 1,417.80 × 691.56
  4. Step 4: Simplify right side
    1,027.65x = 980,493.77
  5. Step 5: Solve for x
    x = 980,493.77/1,027.65
  6. Step 6: Final answer
    x = 954.11

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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.