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Finding the Fourth Proportional to 985.01, 1,357.98 and 774.38

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Solution

The fourth proportional to 985.01, 1,357.98 and 774.38 is: 1,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.01 : 1,357.98 = 774.38 : x
  2. Step 2: Convert to fraction form
    985.01/1,357.98 = 774.38/x
  3. Step 3: Cross multiply
    985.01x = 1,357.98 × 774.38
  4. Step 4: Simplify right side
    985.01x = 1,051,585.76
  5. Step 5: Solve for x
    x = 1,051,585.76/985.01
  6. Step 6: Final answer
    x = 1,067.59

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1.5x scale

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.